{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Born"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import modules"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Basic stuff\n",
    "import sys\n",
    "sys.path.append(\"/net/server/homes/sep/gbarnier/code/gpu/acousticIsoOp/test/lib/python/\")\n",
    "import genericIO\n",
    "import SepVector\n",
    "import Hypercube\n",
    "import Acoustic_iso_double\n",
    "import numpy as np\n",
    "import time\n",
    "\n",
    "# Plotting library\n",
    "import matplotlib.pyplot as plt\n",
    "import sepPlot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Wavelet (sources)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "!/net/server/homes/sep/gbarnier/code/gpu/acousticIsoOp/test/bin/waveletMain.py timeDelay=1.0 f1=2 f2=5 f3=8 f4=15 par=parBorn.p type=ali wavelet=waveletBorn.H\n",
    "# !Spectra < wlt.H | Graph grid=y title=\"Wavelet spectrum\" max1=30 label1=\"Frequency [Hz]\" | Xtpen \n",
    "# !Graph grid=y max1=2.0 title=\"Wavelet\" < wlt.H | Xtpen "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Velocity models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " \n",
      "------------------------ Model padding program --------------------\n",
      "Original nz = 350 [samples]\n",
      "Original nx = 1700 [samples]\n",
      " \n",
      "zPadMinus = 100 [samples]\n",
      "zPadPlus = 110 [samples]\n",
      "xPadMinus = 100 [samples]\n",
      "xPadPlus = 104 [samples]\n",
      " \n",
      "blockSize = 16 [samples]\n",
      "FAT = 5 [samples]\n",
      " \n",
      "New nz = 570 [samples including padding and FAT]\n",
      "New nx = 1914 [samples including padding and FAT]\n",
      "-------------------------------------------------------------------\n",
      " \n",
      " \n",
      "------------------------ Model padding program --------------------\n",
      "Original nz = 350 [samples]\n",
      "Original nx = 1700 [samples]\n",
      " \n",
      "zPadMinus = 100 [samples]\n",
      "zPadPlus = 110 [samples]\n",
      "xPadMinus = 100 [samples]\n",
      "xPadPlus = 104 [samples]\n",
      " \n",
      "blockSize = 16 [samples]\n",
      "FAT = 5 [samples]\n",
      " \n",
      "New nz = 570 [samples including padding and FAT]\n",
      "New nx = 1914 [samples including padding and FAT]\n",
      "-------------------------------------------------------------------\n",
      " \n"
     ]
    }
   ],
   "source": [
    "# True velocity model\n",
    "!/net/server/homes/sep/gbarnier/code/gpu/acousticIsoOp/test/bin/padFileGpuMain zPad=100 xPad=100 model=velocityMarmousi.H data=velocityMarmousi.pad.H\n",
    "\n",
    "# Background velocity model\n",
    "!Smooth rect1=10 rect2=10 < velocityMarmousi.H > velocityMarmousiSmooth.H\n",
    "!/net/server/homes/sep/gbarnier/code/gpu/acousticIsoOp/test/bin/padFileGpuMain zPad=100 xPad=100 model=velocityMarmousiSmooth.H data=velocityMarmousiSmooth.pad.H"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model (reflectivity)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " \r\n",
      "------------------------ Model padding program --------------------\r\n",
      "Original nz = 350 [samples]\r\n",
      "Original nx = 1700 [samples]\r\n",
      " \r\n",
      "zPadMinus = 100 [samples]\r\n",
      "zPadPlus = 110 [samples]\r\n",
      "xPadMinus = 100 [samples]\r\n",
      "xPadPlus = 104 [samples]\r\n",
      " \r\n",
      "blockSize = 16 [samples]\r\n",
      "FAT = 5 [samples]\r\n",
      " \r\n",
      "New nz = 570 [samples including padding and FAT]\r\n",
      "New nx = 1914 [samples including padding and FAT]\r\n",
      "-------------------------------------------------------------------\r\n",
      " \r\n"
     ]
    }
   ],
   "source": [
    "# Reflectivity model\n",
    "!Add velocityMarmousi.H velocityMarmousiSmooth.H scale=1,-1 > BornModel.H\n",
    "\n",
    "# Pad reflectivity model\n",
    "!/net/server/homes/sep/gbarnier/code/gpu/acousticIsoOp/test/bin/padFileGpuMain zPad=100 xPad=100 model=BornModel.H data=BornModel.pad.H"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize Born operator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nts=1000\r\n",
      "dts=0.008\r\n",
      "sub=8\r\n",
      "nz=570\r\n",
      "nx=1914\r\n",
      "zPadMinus=100\r\n",
      "zPadPlus=110\r\n",
      "xPadMinus=100\r\n",
      "xPadPlus=104\r\n",
      "dz=0.01\r\n",
      "dx=0.01\r\n",
      "fMax=20\r\n",
      "zSource=2\r\n",
      "xSource=850\r\n",
      "nShot=1\r\n",
      "spacingShots=10\r\n",
      "depthReceiver=2\r\n",
      "nReceiver=1700\r\n",
      "dReceiver=1\r\n",
      "oReceiver=1\r\n",
      "blockSize=16\r\n",
      "fat=5\r\n",
      "nGpu=8\r\n"
     ]
    }
   ],
   "source": [
    "args=[\"dummy arg\",\"vel=velocityMarmousiSmooth.pad.H\",\"sources=waveletBorn.H\",\"par=parBorn.p\",\"model=BornModel.pad.H\",\"trueModel=velocityMarmousi.pad.H\"]\n",
    "modelDouble,dataDouble,velDouble,parObject,sourcesVector,sourcesSignalsVector,receiversVector=Acoustic_iso_double.BornOpInitDouble(args)\n",
    "\n",
    "# Printing parameter file for reference\n",
    "!cat parBorn.p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create Born operator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "BornOp=Acoustic_iso_double.BornShotsGpu(modelDouble,dataDouble,velDouble,parObject,sourcesVector,sourcesSignalsVector,receiversVector)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read model (reflectivity)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "modelFile=parObject.getString(\"model\")\n",
    "modelFloat=genericIO.defaultIO.getVector(modelFile,ndims=2)\n",
    "modelDouble=SepVector.getSepVector(modelFloat.getHyper(),storage=\"dataDouble\")\n",
    "modelDMat=modelDouble.getNdArray()\n",
    "modelSMat=modelFloat.getNdArray()\n",
    "modelDMat[:]=modelSMat"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot velocity models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Read true velocity model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "trueModelFile=parObject.getString(\"trueModel\")\n",
    "trueModelFloat=genericIO.defaultIO.getVector(trueModelFile,ndims=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f45111b6ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sepPlot.Grey(plt,trueModelFloat,label1=\"z [km]\",label2=\"x [km]\",color=\"F\",grid=\"y\",title=\"True velocity model\").output()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Background velocity model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dvopG4/QmpmkEEC10SmkaSktZZ56RQGwuBtfzePy/BNIHEvEnJJw81EqMTRhSaaffL1rG+q1lnVSo5qOmSyDKJmPp3IPY+dj2aDRymQeYL05+FswSAso689i09O23+lKqRgJl7XvcMNUFIBF/QsK8sNP+FZbk6Dykhc59GarZ7xctSpVEarXi6EGjU2gVT7OOHyWB2TRJw1ryo1HuqNZlVSMg6vllur7tqGYZoahFbTsKq7kD+YiD2/K/On557Xh+diQwrUOq1YBer/yeOWWdPxF/QsI80Aec0SGEtfT5YVgfyYqWfrdbbe3r9jY0UPVwSxrH0ednSRJXtixm3Vf5KGx8fszKt6OeWQk2dhz9P4+0xfrx2JSD1OIvCxG1OO3EclOQiD8hYVaUkZ+NCCERktiV6LwPlh8t/ZhEAkyGbpJcuE5JaF5rsSxNgl2uHZldpgRfNhvXlgEUHaq08rVD03bUMm1E0LQZuM6F9mebkaxtgrtZHMmxEQCvQUz60XOomiOwRCTiT0iYBXbCD5CTgF3nfSD2Xi+XPdR5SOLv9+OkyXK0XGu9KmlWxdGzrLLUCXo+ZVb6NOs7NuNYy7VyVFnIpu1EYqGus1r87BR7vfy3nRRmyXzahCuV6mjhq8PW7msnps1a9+NGVM2BRPwJCdNQRnyxpF3DYSAbfjQ6hCMDroulMAAmJ/8QVibQrJ16jFhdY5a4HrNKqol1SrY87XzKYtVV2olZ2pbwtfPUUZFFmdXOSW/chho7O51eL+881ZELlCdkU+tes6LqObOD0I5CZcFpDvZTcPYunfidc28H8CUAbnvvP33Z9UlIKMBavmqJkzQ0jG8wyImdFj234b7dbjnpA5OzeGNpl+lotJKQOlNjeXEs2VuiL7PeibKOpGrUQcu62Yy/S0CPPRzmEhnlMG2LmEUei5yy9dUyqkYCKqdNm9XLfdjB6ChAJ4jx+LHfMayIxf9jAP4pgHcsuyIJCQXEUivYyVZra5Mx3iR/RujQctRlqlVr6gBmk9SUAEr6lhRIopZMWdey8EobjROz6m0bKKatJ5hSQokuluyMbdbvA51OXl/bmai/JPZtEbOsrRO+18s7AyV/9Q9U+QRsEjgbxWSvn1r+sfqugsXvvf9N59zrl12PhIQCrNRBC7vXC8TkXCB91apppXY6RYmCkoymCLaWOC13JWiWaVML20RgGrLJ31Yfn2bd27DLWRySMQufHR2JkmWyY+IoiQRJcu92Q5t1u8URERCP+Z8niRvPt8z5TJ+Mkr8eTyU0lYDKRgM8V00HwWPp71hndUphnUsn/oSEM4eYvs3wy6OjYqpktbQtcVmijYX8xSSd2DY214/6DBhTrmGFg0HRcrZRMVXnepx20nNQDZwEp7l41GpmZ9lu5x2mlW5qtSAT0RpXXT5GvjbcstUq1td+87y5D7+73bweVQ7iGHS0wOPEMnjG/p8CEvEnJChiRKjk1O2G31YD5gSdTieP2LGhh3YiEj/UhKsImiOOwSCMNJrNfCRBzZj/1blcVua037PGm1sZh+fK82k2c8JUpy7rxBESO1TdHwj7t1pF4ifhV4ViWkK20TvehzJtqKjKS9pB6DnGRgLaCZWlYtDcSrrNEtJpnxvif9uzz45/X3/mGVy/fn15lUm4mLAWLEmh281J32r3dNrW62F9p5NbitNCEGm5x+LTdZ9+P3eMrq1NzowFcgcqO6iyCWKznPdxnYs6r4Ck2GzmpN1qFWWxwSDU9fAw1JWEyw5ibS1sz+9pln4V7GQsBTsCymrqwNdOm797vfBd9f6AWaWoE9bzn/ut38Jzv/3bU7dzfgnDjIlKOPdxAN7lvf+0kvXen8FJEAkXBJbo1PqjFX90FD4kfjrh1teBjY1AGJ1ObvFTc2c51grUtA9KNprSQZ281LW3t4vHBHJyrdVCHdlJVY0gtA48nj3/WaHWOQm62Qz1XF/PRyisL9vk8DCXeLQD477cr9UqWtfzvpHLnrM9t7JJY+xgdVRgw19tGwDFjilWZ912wZq+e+Mb4b2f6CWXbvE7534CwHUAjzvnXgDwVu/9jy23VgkrgzJrV6NzrP6shArkQ3clW1seOwMuo9RAB6BuB0xG4qhMom+F0rQN7Gysn0F9EhbWoJrX2qeOr/JLqxVIe20tt/JV4un3A+mzo1RNn/vrfta6P6lEc4R1ltPy57XR3+qn0bbiKCCGMqt+lpe3LwhLJ37v/dcsuw4JKwgbrw4Uwx+pkR8e5lIEww01KoaOX0IjdZSglNwp8eh+9AlYZ/JgELalBQzklqdKHzwG/Qv0RahEwWNrGyh47CpS5bt9mVhNJR1a+CRuK+0MhznZ6+jJ++JIgSOHWA4i7QRmJc2yOQZlaoemZybRc8SiYbeU1+h8V1lI27CqM13S6zKXTvwJCaeKqvQF/JDg2+1AUNTu1donaXS7ORmqdaqzUIFi9krdVmUhDcNUa5hkqFEhKiWQqDjTlT4JHTFYq98SDs8hRvr6InclvXo9rKMkQ+LXWHi2FetCyUzrpp2Havl0HNMCt+duCfVRZOtp8xWAXK6zcyo42oqNBspI/7h+lBNCIv6E1UHsYbPSDslT9WdazzaFMn93u3nIoYYOaoy87TBI6IS19KnTAznp2+ycGhNOWUrnEaiMQj8DSVZlI9Wf19aK5K+pFrg9CZqkr2GW9mUk6iDnp9PJ2yEWtaOg1DLNx3ccH2DZiMHG+it0prTOqOZIgNIXl/EbKI4EWq2lZupMxJ9w8RGTdWLJwEiYR0e5xd3p5ISszlZa7+wMgOB41YlLGqnDTkVHHP1+bt3yP52eh4fhf6uVdxIxpyAtfXVEt9vA3l5R33cuJ1cgHh6pbUPohCsel34FJXwewzpF2WlqGga2C8ugLGTj+9UvYK+dvb5l6yz0PDlpaxbEOhY7GrCjk7JJWku29oFE/AkXGTHC1+Xq/KQlSnmHljPJmoSlMz1JbLT419fjzlIeQ4mQ6R7W1oopHRjeeHQUlsWyWCqx8BzYSR0eAvv74UPS5zEYIrm5GZ8Qpe8MIHSCmlr+2mHZiU86cuJIyZId68J62HQTVVb+PKklyqCdStkksDJU3VexMqy8eAopGaZh+TVISDhplM1AjVn51MRJmqqt08Lnt07wIdnSSbm5WSQD27HwWAy3HA7DCIFEymicg4NA2swlT808FtmikT9HR2HfBw+AnZ1QBhDCPvm9tRW+Sbg2LFL1c20/29FwW9u2KldpR0mwbJV3LMFaR6k9lj2+daRWzT62UTSxqBo9/1kdr1Wdjs3bc0aQiD/hYmGaM00dtNbKtyGbdnslc7WwvQ/Er5ackj4tfW5/cBC20dw1/X6oA6310SiQdJnu7VzxHNhh7O6GT7sdOo16PRD+5mb4UJMHwjE0DFEd0dPIKpaOOpYJk6D+r1E79txipB8rLxYuqz6FqmidWNpl275VFnnVujMg4cyKRPwJ5x9VVp4NvaTlTVmFFrgmVlONOjaln87Xg4Ownzo4VaJQmYfkvLsbyJ/atnYk+/tBm+f6ra1AkjFrn7Nz2ZkcHuakv78fytzayqWdzc08KkVnHytJqvU8a+qGqglI6h+gU5i6fuyc2GaxdBXWQWo7Zg1FLbsX6MjWOQfqv9BonbJJVo/qkF2iQ1eRiD/hfGOWcDm12tVpy8gdavw2BFMdt0ri1OH39sI6avWMdFHdWa19WvOdTrDmaVmTwPf2ctImIdl4doabDgZ5x8VRxMOHQebZ2cnJdmsrjzTSjmwW69SGgMY0bF2mYa2amI2dl05Cs6MDHYXYuvG6WPlMz0U7srJzY4dj66Qdk9YllpKhCsdJJbEkJOJPOH+omrnJdWoB2oiddjt8aPWrVQ9MTtFnDhxa+yTwo6P4ZCMek/t1u3lHsbcXyIEyDiNhSOB06m5sFCdAWZ1dOy9a+zs7wMsvh99Xr4btWb6mQFb9mgQYIzaNUIpZ0eroZR0twVsytXH4LEMlJzvasHMB6EPgCE07gtioRdMk6wiEjnMboaQjAX7r27vs+dt6l+GUUi7PgkT8CecH06xUHf6TBBhGyIlDdMhqSgO18IHiLFslFZVr9vfzSTskOhI9QUdnux1IeXc3HHtzM09rwBBAdkq9Xu78tCGOWjY7L3YoDx8G0v/Yx8Lv17wGeMMbwjYxwtF4/Kr0xrS0y3R/q5vru2d1ngJBYuYxtZOOXUt1EmuUkL6w3kZO6f6Edk5K+mrt6/9Y50DY85o1SucMRPMQZ6cmCQkxVDnr7HqNwKGFTqInSerEJh0VKAFZR66Ws7sbiLXXy8m52cy3o4XN4zMvDYmf5Li+nmveVrLY2MhTH3B7IK8jz4GO6YMD4PZt4CMfAf7ojzDa20Ot3wfe+Ebg0qXcaapx83bCVCx8US3mWazVmMO3LGwyNnua56c6fszK15TT6owvS0Otk9DUstfZwtoJattwH91XX9sI5P9tG8Uils6IFJSIP+FsYZa4bLUQYyGajJUn2ZMgNYkayV0JP1YWtfR2OxD3gwfB2m80cstds05qagbOAN7fD8R/cJCHUzIKSK1KIA/hpBREC1UtWcpWPL/794GXXgI+9CEc7O5iAODKjRtwL78MXLkS9mM2TyW5sklbVcumXTstk21RlhKZVrm95taC53wKXj923JoNlX4Um46aIGlregn9z982dYQ6pe2sZytj2d/A9E4z5epJWElUTY8v214dg6rB0yIk0dN5q3n01bpXkrbWP612Wvp7e4FgHz4M6y5dyp26fHg1YoYdUK+Xa/udTthPSZ9T/Dl6APIJVlZTVqmDqSQODoC7d4GPfhRHu7vYA+ABrPd6WH/5ZeDJJ4ODl6GdKuvYiJ5HhZZhX0oSk+msjGRlGxK4vtlM/TT0iah/hBFaKuEpgW9uhrbY3AydIT+tVp4Ij52CvhOAVr9a/u123oHa0NBYig2dDLdkJOJPWAyOO6OyrKwqC1+tYFr4/CYBa5if7Txi1j/JlZb+/fvB2j84yC19G7vPFAy0xpWoj45ynwCJRaNgWq1gnbfbeeglUMziqRPBSIA7O8CLL2L4wgvYBXAEoAagA2D9/v3QDpQYYqQzGExPW6DpJ8qg2j73AeK573W9jaCKEb5GYh0c5HMWKJ/t7sLv78MfHWHgPQYARggdIAC4rE3qAJoA3MYGHCe0XbpU/GZHoFlGtSNQZ3gsLNTObibsxLEl6/2VR3fO/fwMZTzw3n/dyVQn4dxiXst93vJsmgVrGdLaowOXco+NV9fQQK7TY2o+e+a8uXMHuHcvEI5ajq3WZLI0nStgrdxarZguQUErlI5drW+9nhMjSZ/nfPcu8MIL2BuNcASgh0BufSCQIqNl7OiBETXMM69tfhzMuq8SvmZF1Q5NX7yuVj2ltp2dMPJ68AD9Xg8979EDxoSvpA8E4uenAaDWbqPRbqP54AEatRoazSZw+XIgf362t/P5D/pSGI4A1EmscxPYCVjyV7Kflof/FHL0T+t2PhnAN1asdwB++OSqk3DmUJUQ66SPUZaDRa17TQmgDk5G6uhLSLivSjt2mXYw2pHQIXvvXiD+vb2wz+XLOSFQ+9WEafQJ9HqTEketNvliEoIhnprojOesGS85iuh2AxHevYvB7ds4QCB9IJCeB4rZOYHivAFGIc2Kqus+La8NoaMAbW8dtXF01G4Hq55RVA8fhlHXnTsY7u+jk53vAChY+ONzz0DCJwYI1j8/9dEI9W4Xzbt30bh7F416HTUS/+XL4bO9Ha4NZz6zEyh7AbydGKb3SNko4JQxjfi/23v/7qoNnHPPnmB9Ek4bs0zkOa1jKBFrZAd/q3SjE7BIGDrz1k7g0rI1VFO3IfkwRPLOnRAief9+OD4Jf3s7T3ymsz01ukRTJNM654tUbNtomKb6CdixKGHS2dluB+v35k0ceI8OgCGKpFYg9qqZuI/amc+6v7a7/ajPgu3/4EFo+4zwu90uugijmT5y6x7ybWHFLY+8kxgib7N+9l0bDtHY2UFzZweNWg319fUgwVEK2tzMZ0TbiXt09OsnvRdwAAAgAElEQVQowMpB+g0s7S1clcTvvf/paQXMsk3CCaBqwtJZQRW5xKbh29+WnGex8DVPvnYSaslbJ66G+umIQkM2b98OpH/3bjgOH/LLl4P1ZyduqUOY2T05crh7N3zW1/OXkHBbErtONOOMYBKKZs5kh7K7C9y7B3/jBo4QLFkgkFcz++DSpVyOYpsCk+//LbtGJ4FYqgXbSbKdOMra2QntdecORvfuodfvTxC+FRTZ2bnIsnFVzD5elo9k2wGALsJooHF0FD63bqHWaqFG3wA7AH35DP0C/E3r33YC+vssEj/hnPssAN8N4PXZPg6A995/+gLrdv5xGtb0slB1brF1Zdtbq1uJWMP37IcESDKxE6ds+XYb3Y4jCToN79wJ4ZG3b4dlzWZ4yGn50dqnc7ZMpz48DFLRSy9hdPs2alev5p2C5oLXUczODnDzZl43zW/D7dg53bmDw+EQbQQSI+lvALgMhElcW1uT2v5pwV4TdsyU4jT6ipPQ7t4N7X7nDjqDATooyjlAOFc6bPlpIHfgsgOoy/pRVoaXMobISV9HDtyGxx0fp9dDrddDY3cXDQCNWi3cC3QG8zcn59E5rPeLnUcALMXRO+sRfxzAtwP4AMpHVYvFMizbM5pS9cRxHOuvSkaIJdVSWLIHiuRJS15fI6gTr3Q0oOGZejzVke02up2NkLl7N5D+Sy/BHxwEC3JjI5D+lSv5xCtOruI5aHoG1lvkoi6ADdbfpohgh3F4GLb/yEfyHP9M1MZc/wwPvXcPuHEDh8it/QaAdQTSd08/Dbz61WF/jir6/eo0A/Y6aXvNG4aokUA6wuH1pUy3tzf2VeDePfjbtwuSDsmZNSHJ89NEIOB6oxGscRKvpn4GUPMeDfX9iLzkez0MBwP44XA8orDHZefgsvZ2AGqjEVy7jVq7nXc6zsE1GqhxXoD1CWhEV9lbx04htcOsxH/Xez9LhM/icJYkjbOIRVhy08qMEXjZd9Uyq/XGvi3Zx6x6/a3pF2J11uMxZJOW/vPPo5ft32o2g6Z/7VouncTkEyV9Jedbt9A7OsIQyIf4ttOiFX/vHvDCC/B/8icYAmhsbATyvnSpmNPnwQPgpZfQ2d8vWPtrALYBrF+5Eqz9xx7L5wkwP0+ZHm876FiHPatlqtdDZTj1dzCTaKbf4/ZtdHs9dDCp3wMZwWefNQDNLHupu3w5dG7b20XZRaNutF6RUGDX66GRSYfNbLKePzgAut3CaEMjhjhimID3qPX7YeZ01iHYkcl4FKezt08ZsxL/W51zPwrg1xDkLwCA9/7nFlKri4RH6bDm3Xee7au2neYUVFKw6XA1bYLNhcNt6GzVPCwax03Llg+pvsFJNXqtm7X+q+qt1jmjRu7eBZ5/HqNbt9AdDjFCppNvbAQCvXw5J30SoHYu6tBlGoW7d4MFi2AN4urV3ME7HIbjOxf229/PQzMRCOYafQyPP57r8js7QQp5/nkcIAvbzOq6BeBSrQY8/TTwqlcFYqFvgO/vVZ+EfvOaKGlrJ1Gv52XMAl4PG3LLZHL37oX2uXdvwsLX+Hta9WsAmq0Waoy00egq62i1EgpnDavBYCVATfHR7cJl0luz3UYzCyf17TZG/T5GoxEGUlftEIB4h6AhpbXseLVOZ8L5zG0XjVmJ/+sB/GmEa6BS2+kR/1mTXOaNhDhu/Wc5zjxlx8ory8kOTIYDWqKwcfWqc/Oh0igbJV6tjz6IMQlH4/hZZ9ZBQzNjbaFWnk7O6nSC9Xz7NvDiixjcvo02goXXAtCq1QLpXruWpzdWa5/larSR5ua5fRu9bhcegbjGnQfrQGtcJmK19/dxgGAdDg8OUN/by7OAStz+0eEhDhFIpo4g8WwDqL32tcArX5lPLmOnxJh9O8mKna+dEGevvbX2Y9Z/2UiOM2tp4d++DX/nDrqDAboIYZl6V9IybmXn1djaCteBchslHZ1lO6tubkexKgVqnTVwIJMbXaeDevZpMsDg4GA8acyODNRvYMFRWgxnifg/23v/SQutyTQsIn78JDCNSOfZrwonEU+vU+QtYnKJWsj6cHAbfUhsGKM6UzVE02ZiVLKOjSTsb9v56HdZu6uuro7Xhw8D6d+4ge7Dh2O9nLICHnsMeMUrAmHTWae6PlB05tKK398PFu29e+hnZdUvXw7l0XKnc3c4zNMuvPgi9hEs3yYyC5L15qsVb9+Gv3FjvJ3Ltt1EJvE8+WSorw0z1SgiLtfQUbV6y+YgaMdRJk+oIaAhmtmEK3/nDtr9/ljSiRH+GoKDunHlSmiza9eK8fTUzBk+SUlHZZ1YWgrKXXpOCnuf287AhulmfqfG4SEaWRiw73Qw6vUwyEYF1l+g8wx0ZBP7vUjMSvy/5Zz7FO/9Hy60NlU4jWiE41jlVQQ8LavkLIgRfhXBzVJe1axYtaStNc+hMklOJ9+ohKNWoz3PKqtc6xRz2tpkavZ8ys6VVi/JaH9/nMbY37iBw3YbbWBM0k0Aa61WsJwpz5D42c56np1OMZQzkzJ6mTSyBoSyGGGj8pZE8hy12+PQzHUAdToB+/1wvAcPgBdfxMFggDYCmdSz8i8BQde/di13Gg6HeQegchiQO88505nzIehItzOPrRMyZlHr/cPyMkvf7+ygk0Ug9bNztA7bFgLhr21sBKnqscfySCoSvr46UusQc+BrnWLQTkDDK5kniYgZO9boyUaQrtsdjwrWeK91Ohh4j5H3Y9/AKbBZJWYl/s8F8H7n3EcRNP7TD+ecR188TVSRWNk281jrsaFprJxpBMjtdTv9r2Rv9XaVX+x2Nk7e1tHqxmV1s+ej/8sIPwa7j5Kzvqnq5k0Mb93CwXCIA2A8kYeyCV75ykCi9j21PD91WCoJMCTx7l0MsvLq166Fsvjic+00j47G9VErvg4Ex2WrlRPx3bvwN2/iKKuvWvuNJ54Ix2D8+GCQR/PwN4mNx+XMWCaR42sfOUeC1q1zuZUNTJ+pm3Vow9EI/cEAfQQ5h4TP8aZq+BsANhoN1J54Isg6jz8eLHzmz9FEafY6VCF2z2gCOTuC0/X2P+tQNjJgZ6ojy+y7oZ0EO/ysE/aLNGr5Yh+DWYn/TSdXk2NC39CzaFgroSqawV40a6HGiK0qRUFZ+axTzAHH5aqll5Wlmq7ur1a9tdpVS7fnHIuftz4DiyodPvbf/i6DHbXwQz02m/SEmzfR3dnBHjC2sGk5bwJoUOLhDF1OotLRkCYTY7uyU7l7F/1OBwCwVquFsmLx9KPRWObp7+2hi0DodGZiezu3+DPfwWA0GssjrPO2c3l9lZS13fSatduhnsxBlM2OHR0eojccjh2XBRmm253QpPnfXmHq20P5piPUI4/BZ/jpBoC1y5dDZ0tpjVE69uXw9t7Vax8779j/2KSpsmUxlMlL9pnR5836uyinZe2xMB/m+94XXTwr8f9l7/3bdYFz7vsBfOcjVmt2HB6eznGqhoZV28cIKeYk4z7TdGm1ni0B06oiGdl6lJVZ1jloXWLlVI06Zlk+bb2t8zwWkG1j1bNV2snCBkcvv4z94RB7wDjNgZL+xtZWrpNT3mk0irKRSkc6osgkHi/afo0RQbTEgbwD4SzdnZ2xk1PlG2xtFc+p0UAdeVhjPatznZIIpSh2tmrxs50Hg9ABvvhi+Ny4gV67PdbcSfpAkdDnjSxX56YSPkcz1PE3Gg3UXvnKIOuwrTh3gSOMmP9p1v9lKNvOkjkwafhVHUNlKH2OYkZJDPRDnFQs/yMS/1c45zre+x8HAOfcDyMbEZ8adncXW75GfcxK/BrCGCN/DUO0loqNRWcdbPnAJLmpo9NuXyWd8BhVnRTLiZUd+z1tfSyssuy4doRUBZYXs/BJzPrylJs30dnbwy6AfQTS9yiS/na9HqxOZmbkqxF5PPu2J1py7FyySUg97+GQzQF47LGgUevr+iiRMc//4WHBoVcH0GLSNiKLW69dvYq1nR0METTxbefCMfheAL12w2Eu+3CE0euFVBQf/ShGzz+Pg9EIXSCa2VIJO3b1nGwH2RaR7TUt8jqADefQpJVPwmebc4TFOus1n3Y/VWE4nIxssojd+3qPVr1zV8F1ev/wd6uVl3nGX8TyFQB+3jk3QpB9drz337C4akXw4ouLLV+dl/Nq8GVkWjaJSNdNQ8wanjZKqMK81vqjWFCz7HtcfdMOqa2Vz6id+/cxunULu95jD8ABgpOKcfprCPHvlwG4V74yDxfU9LvsWJToeXzmiM9yy/QPDjDMysUrXhHKs/4BoPiClna7QJQNAG5rK7cagTHx47HHsLWzA2THqLFjKdPdlcg4m/jllzF6/nnsjUbjlAhlNOpKflvYO1JTKtSRd7DrAJrr63CPPx4I/+rVPOeNvopS24oou1e0fe17f4G8DcuknCoZcRaJ8VFSLnh/9lI2OOcek7/fCOCdAN4D4Fnn3GPe+weLrFwBt24ttnwbtjgr1Nqn9MLvaQ5XtQKmHXNWgqyyiB41Isgep6zOVXXQBGEqVVUdJ1aufuj8ZJK1LGrH37mDdruNHQB7AA4R5AyPQPothNj3K8h0/ccfzxNwWavTWvzsaA4OxqkeBjs76CMjukuX8hQPGlpJ40Jmr/qDg3ECMjp3xwSobZXlDGpsb2Pz4ADN9fU8dNM6cYGizENfx94ecPcuOhnp91CUYTTfDWFTG09cIuQdhyZG04RxjVotzES+ejXUWePxmdKYbTxtxBh7y1UVeU6zqsvKGAyK6/jM2nvWjkwspsk2i3TulmBaV/N7yO8Lfr85+3gAH/8oB3fOvRbAOwC8CuHe+RHv/Q9FN3748FEONRuUpOfpAB6VNJmA6ySPUbbPSZVzXFS16TTHtP5W8uVkLL6V6cEDdPf2sAeMpR1OzAKyyVkIlv4VAGuXLgXrk6/jI6FY4rSfTmc8F2B0//44H/5Y4tnezsMqNXpkMMjTDj98iM5ohMOsnh7ZbFyNqgFy8lhbA7a3w6xiTirT6CW+xMVKaHxPQZYjR2PoNe+NpkZQAq/CSNpW92P4pSPB6xuuGJrJWbXT7lUle/0PzC6X2GNoGVVGGlG1PpYOI3ZOagQs8S1c09Iyv2HBxx8A+Fbv/fudc9sAfs8596ve+w9ObLm/v+CqYH5rH5jfEtf/dCT1evkIoUrnnqduVRp91bbTRiDzlKtlHmd0EFuvxMs49P398cs6ent72EcgfEbtUNpxyOWGSwCuAdhaX89Jn3KDPpzqTOf/waAQrz968GCcM2cDgLtyJVi1quuzvoNBqG+WjXIg9SXxHwLodTpoHR4GsiRJ8L7Ql6UzRQQQSF/b0cpTnHQ0Go2drJwwtQ6gVa+jxs5P4/ZjDk9BfTBAnc+Bvn6Q2Ss52UpfcE7ERqH2flRi1/cb2xfgxDCvr0qXl62PtcUsnc9oFK4BYf1qp4hpUs9neu9//1G3KYP3/mUAL2e/D5xz/wXAUwAmif80o3rKMG/I1ay+Aloxs25vQ9OqtqnSLWPQ7ati5u2DFus0yyyaafMNYsdQwteXoO/uwj94gP7BAfYQyJOyDicL0Ym7juDEvQLgcQCXGo3csag59hmuaY9Ly5pvv7p/H6N799BB6FRayGboXrtWDEPUmcyHh4H49/fhHzzAAYCH2YepGvaz+rf294P8RGLTEYD3gfAHg1DmY4/l56AvbyHpa877Wm0cSslJU47yC18pqWmngdnfsmW31QyUVobSEG0bYw8UOx6CclaZL+6kon7KMG0SWxXUAIp1eKco+Uyr+Y85566jWuJ7O4DPeNSKOOc+DsCfBfA70Q1OI47/OLG0vPnmJe9YGWU4boxvLGpolvrZ7WIRPzoyKbNW5n0w9GGwk2QYA83X8mXaeq/dxh4wJv0DBMLna/moM6uVfw0Z6TNmnNYoI2BYF2rOGgYr4aGjnR3QfmsCaDJnP5Oj8XxI2Mw7v7uLYTZLdzf70P9Qz+reBnCNL0pnNIpOrOv3Q3qA0QiuVkNtNMpDIGOzg/VtZcMhmtmxWrVaGKFcuVKcLGUzWwKTlv8sIYe6De+baZPw7H3D7dkplDl/2d56j+q31qMKsWeEb9XiCMTG8c9yr+v5svNaVPz+FEyr7RUEnb+K+O8+aiUymednAHyL9/4gts3b3vve8e/rTz6J6695zaMedhLHsbiJspupzBoq6zBmvRHm2V4ftmlWRVn8vmrds3QgGs88Sxy0Lddm6RQdf3R4iM5wiEPkhH+YfRia6BFInxbtFQCPIZD+dr0eSP/SpTzDo2Zw7HQm4601x8/9+xg9fDhOU9tClkKZydxocbPTYP6e/X34vT30B+EFIwdZ3Y+QZ9lkfP64DfS3+DNGR0djGcuPRrhy9y6aOueAvoV+f5w2YJwsrdcbO3IdZRi9TjpnQa8nl+lLw/VbwXsoNrfE3rvWuWrvv9h/vU9subx3dH3MKTtrZB1QnLVMx3+tVvyt23HbWNvEghrmff5L8NzODp6bIfTd+SX1OOMKONcA8AsAftl7/09KtvH+LW85nQrNKoPYfdTCO+k6VJHsvE5hOxeAlgdfvm21dJKhhqbSmrT1VH1XicSG1ulwV0Noy0Izez0MOx30RiO0EQj+AIEwjxCsYxL+EHlkCkM1ryJIO1cBbDSbcHS8MumXauaq6aulLymch7u7YwmpBaBOS58ZMXXikUQajdptdL0fW/SUpTivYIQgRT0B4DUArr3qVcAb3hDKHo2CMzjLXX/Q62EXwE5Wj8cAvMo51F/3ujyun50YJZ6DA/h2G4PRaNzRrAGob27mE6c2N4vvjbXQd8WWbUOUEWvsGWGbxYiSs185+uP9qNa9Wvs2jLoqrBrI73MlbY2S0ph8RlfR6ufoiOfA3zoisIntuEzPdUEyj3vve+G9n2jU5bmVc/xLAH9YRvpjnKTU86i96yxWcxWOKynpfjGrOzZ60G2mzRpUv4BaaiQ/YNLyByYtNo28sNElOuFKteteD340gh8M4Hu9cZpb5njpIJClfmz+F1r5lHa2kEs7VwBs8E1aly7l70cleH+xvko0DIPc20P/6Gj8BqY1ALXt7fwFLez81Tpvt+GPjtAbhrc7cYZuG6GTamT1XEforLYBvALA1bW1MLnp0qU8ACBLEzHo9XAA4B6Cb2CYtUPDezxx8ybcaJTP+s1kMY40GDLKUVEPwPrREdba7dAhkgBjIzW9xiQvDXlUWHmF4DJLpiRygtfB5o3iN+8dvb+tpT8c5hlOefjJGhVCUaswXp9Z8o4Wv3YIXA9Ur+P6JWGpxO+c+zwAfxPAB5xz70O4F7/Le/8rExuflnOXWER4JTGr1h47nnYA08qYNgy2IMFr/TTCgcvVStfoCiAu68ixRwBGo1F4gYX340yFJC+SUk8+ffPNToFkD0xmeNxGmJR1Lfu9xrc0bW0VM20CeaSF7aSYbTPT5TuDwTg6qAmgtrWVlwfkOdwpx2RZGXleWnfOI7gi59DI6rqxuQn31FO5k1iJtddDF2Gk8BDBP8B2WAPQGgxw9fbtPAX04SFGe3vjzpIdD+P36eTd9h6XHjxAnZ2GRjcRVtPWl4fba842BIr3mxonmiKa3xqJxPuM0VC857QTyDDKjjfS/xW/Z42hiXYGw+H4vb4uMxhqAGrZdRrvo6MY6yOYEim1aCyV+L3374FImpU4SYt/1rBNSwQKa0mz3FmseUum06BDVY04KTsHlmktIGvxZ/uzBj572Hy2z3i5Vj37DDH94fGyne6nxD1Akex1m6Fspx+Wra+zayGXdrYQCHQ7+13f3MxT+9J5advFtiVJ/+AAowcPxgnU6Deo0zfAuHlxoo663TG58jzYDjqDteUc6vV6kSg4p0Df+gXkI4pRSLFARzZzLzYROoFNAM1+H1sPHgDNJoZHR+MZy3R8d4Dx+ZD4rwIYeI+rDx+i0e/n764lbGjnYFB0dFrEjItmM1/OUYw67/VDos+kG5/dl+zk9D7Qb0KvppfPyPxW8DrY2cpO9rHrdR/nfeFNW85wlp0Ip7R/usGcMxK/c+7XAPxj7/0vybJ/4b3/OwurmcXe3smUE4sZrprNWjZkBaZrh1VlTttHpRRaN9Qvq+QaBEsaCA+y3uAkWiVQmHVDxB8KyLIhcpLWB0JvZJI+JQUlbtZc/5PwdbkFH5yGfGjhM1RzI/usZZ8aLX1OGtKJNsZqHIPO5N1dDPb2xudag2jitPRJVEdHGLbbBYua56kvGOErBB1nrq5Lyiu+jJvyES1vEmM2suDogdfKZcdih9ACUOv3Ue/3cYQ8XHQX+bwGtnktazvmWm8A2Do4QLPXm9SurZWv6+eF+nU4HyNzoI8yyz1G0jHrfVqW0KqPoiYfLVfLHpntgeKsZ7t/1chDcx2VPXOLwqwW/xsAfIdz7rO9989myz5rQXWKI8tPcmLgMDIW7gWUa9u2jIgFXQYS5GgwmNAeS6uJSXIsI289DqUTWpp2mRK2Pc60m1Dro3Dy7WVba52pROPNbwWH0yTOpnyvZx9meeRs3PHsU+fCjFHmgdGY+thEOQ0VzEi/f3AwlkTGpK8dSJYIzh8doT8cji3pPnJSHXdM9Trq29u5E5XlqLO00QhWNl8pSCci9faNDWBzE/W9vXH+mybyOQQ15B1AJ2urPQAPANxHPoOZIyy2MbOU0ineB7De643bv569NLxerwc5g3VkemJmip1FuuDzJn4Q3+thOBxOJIqzH0XZMn7rqNSOIHXECRQNCiVvtfbVMOGxleA1J5FNeWEJX5+/WEd0Gh3ArMS/A+ALAPyQc+5dAP7W4qpUgkUkadP82Mbqn+WC8CLaG6IKMat7GsnSwuaNSwt0VnLW40w7n1luujJrSb/nATsMPjAq4ZDoxwm+st8k+ob51AHUGo0806O+LjEWAkjtlWSUZfQcdDpj0q9nx6prmuYsN9Co0xnnvGFkjkM+8thoNOCuXi0mI9MZwhrapwnGGAaqDvJaDdjaGvsv2tJmGwiy1mbWRkC4XzrIQ1013JXXkJ0F27+BQPwbyK8lO5hGFv/fHAxQPzoKyeQ4GtCIljKw/TPLXmWw2L2qz1PMci4buQK5hMhOjh1yT5Zb693eS4WqY1K21Ht13EbyUYvfjrp1ZK0dkT3vRWFW4nfe+wGAb3LOfR2A30Twm50adheQskEvgi4DihZy2Q1mL+K0i8Vt9Jixfbz5bUlc9XVrtdj6qXVtz6+sfoTqlWXb6TBbSZ8PRKw8teT50DAax1r3a8gdofpgqWU1/l2r5aSquWCAYloMgiGslHyykM1+ptHT+dkCUOOL1r0PgQbdLgaZlU8i0TzzrWYTtatXQxQRpSadHMU3OQGT0l2tFjogjWtn/RoNrDebeDxzlB8hdwpfQiD/NedQr9UwHA7HIwG1Wu1ojYnh9rNzGCAnflq2msunpd/9Phr9PmqdTkHmUFgCVwK1PhBr7cc6AFsGzD58bim78dta+5b47f3I+9U+S2rxO9mf96Ulfq2/nqta/ENT9qIxK/H/n/zhvf9XzrkPAPjvF1OlOD62gDK1t42ti0katgOo0sTLjhm7uNOs95jlbhEj/3lvIvvgusgy3VYtfd7sduis2ythq2OWFpM+QPqxw/DCh9YmJQi1mmMT12hpq7P86Ah+f39MEMxl02L5dEYOhxgOBgWntEcuPbVarTwHPyUdSk36IhamW9BZyTbiyr5Niw7k9XVc6fdRQyC1JgLpr6+vF3wDtZ0dXLt7FzvIZZ5e5HqS3HrZdsPsvIH8PuN1IuGvyTc75Gn6uP7We7qMkO3zx/tZrfmY0aahwAPEy489P3rv2jaa5hAuuzenjVSUD6p45qSx9Alcs8A55//fBZRrbwIlTbUeyjRo3W7e4wKzySL2pqjqZPTGRcl2aqXE1lkrpipFrz7s1tLR31q+kjjJVS13reO0h8rpjFMSq5UbbNy4XZclXBtm0s4QebhmAxnpZ53IqN+fCCVl59DY2MhfGchXNjINhCYWI7l3u/ls5HY717xtWmJF9qyOhkOMRvkrGJv1OmrXrgU5iceu18MLXj74QdzsdvExhCn2uyg65gmeMz+09nn/6zVS8qcjnZ33rJakjj7UKldDSolfnwPV62M+IjuSsKOJmPHlIh+FPYaXbex+sZGPJXXr41qUpf8dwJmdwDUT2idYVkz6AOIXa5aeV+WOWDn2WNb7PwumWQMk0aoy5yFyq7PbcqxFrxa7/dh9Y5ah3baM9BHTlDWqpGqOAkErfziEzxy4JJFCp5WlcfARwq/BED5fr0iy15dy6yxkST3hs1nJZfJDGbT9m0DwIfD1ixqDv7YG97rX4RV//MfjF7R7BK0/Zvkq2VviVWOAH/W30PKns7nMuIApm74RavAa2aUdj5V6qiz32DZWGgUmiV9/x+ofI2dnvmMjHnvcWD1O2/w+N8RfdSMdtyxaMlxWk99VVj6hFvI89VOSLtNE7ehDf8duPg1zjNXFWtcx8rcdgz7kZVp9bFv9r20N2c8OqZ3Z3gFw9Xr+UhIgJ3tOd58njFAnwPX78N0uBqPRmPCB3GIdt8FoNH65uW7XALBWr4eZrpwfoC9u4WxfWvBi2Y/abYyy45bNVSiDbXfq9w3vQ7uw49G3hz3xBNb29vDqO3cKKS34Ozbq1fufUGub92cNwcego706JsnQlgMpSyUzteAt0UP+2+WxunpMkv088kmZ1DNtW7ZvVbxeVSdwWjg3xH/5hMuzRGY1Sm4Tu9hKbipbKKo6Ag1RPEmoBW4fXj7Q+mAChmjN/paMvVkHVBN/DBOWflkaXpK7SiVl093poOXMSHXi6vR+poPI4sT5cE5ISMhJUQmSztvG+nqYVbu9HYiWVr3JL4R2G77XG0tEGsEyNMcYyX8LvV46EuO223t7Ia3yaBTaQEMtBwPgqadw6fAQrz48xCg7B40Mi3UCrE/NLCM504EaGwnMAltmrOOb9ruKMLVTmMWIU/D683fZfjFJ1QhmnLkAACAASURBVKG6XpZTlmHtA+eI+J9cQJna4Jb4Z7G8gEkiJaqGemU6oN121iFnTGOMlRO1qivqPO1Bju1vRxKlIX46ZV2zPMYSWMXKKZt4pZKOhA/6Xg9DmRgEFH0K2i6WkD3yuQPu8uXcygfCxCNa+IeHQKeD4Wg07lwGpqwY4cdiyyeaK/vWyJGx/j4YYPPevbxefF/v2hrGc1S6XVz92MdQOzrCFUzKLWp1q2NUcyHZNBraVsQsI18btVM22qkKgphmJT+KFW2JuWq7spFB2Ui+TGY+bZwb4n9s+iZzI6bv81svUpl0wu1dZHs73LUX2ZJmmWUxq4QUc0zF6h8jd4syH0AVxvtMk1+qJvroG5Us8c86O5rRPHTcdrsTxKLXWqUNtbr5n9Z1q9EIOj6zV7bbuVXfbo8nIFm9Xonekj4tbY1Q4bFjconKeU0URyzNgwM0X365ODmM8xmy9nO1Gq7cvIlLkrbXA0HOkpxCTIrHiWDU4ZkJlZIhdXmY9p1mwVqHZsy5GbPS7XbLsJQV054dC95ryyR84twQ/+YJl8cHTG+eWYapMSLkcNgumwdVxG/XlWn8QDlJT1tvy5lWt+i2s7x+jiGW0/K7zEL0Wo79DRRGBToS4n8+hGp50oqm87IFwOkLSvjqxHYbA3HMxuLRy6x7kr0NNVSUSWYDqZt2EnUAV+7eDdlC19by+nICm/dg/viaSXhYZ0hpJlP5bjf4QIbDcbTNATBOA32A4CC2fiiVSOaxyGPbTtPtTwtVRh9/l3XSMfDeosN8WZ3XuSH+k0xgSr32OMRvwX1myzR3fMxldT8CYpEOsZszJjfBezg7K7asMziJd4wytp3vFGCmUGr+pn56PtZJyI9HHrPeWF/PCXQ0CumNOx0MB4NCjPjQfKx2bQnedhJWHpjmJ6HsosRPx/yll14KqSrUwdtqhdEKR1vMIqodpaShdv0+XK+HVreL1tERcHSEK0dHuDIcYhsh788OQjoIHWXyHQWzXFk1lqw0aS362IhgEZhldFuL/LZ+MS0vVufYyPK0cW6I/yShN1rMeidsdM1Zx7QbaNqNHbOy5oGN/nlUcp+5I9Oka7Va6WhByZ3fOk8DCA/EBgBHx61z45ep9LOc+rTWbUSOdeDqR6Uc7XTU9zKLc1w7CjpX1XFf7/WwdetWIP7NzSC98Q1jly4Fsu90ihPaYu9a0IllnQ4a+/u4ev8+Ng4OsI0wAmdUEaQtyyz5Kp+X/q9y8J40YtZ62ci4zP9lgxvKtidI+nqvcPlpYiWJv8p6iDmYqjBNOjlLOK7VVCb16Dcw+807bfhsy5trJJONOKqseqv5UztfQ5gMNc68mck6g8zC1zTLVrpRy75vvpUQrWVf9imDrf8AGL/snVZ/8+FDtNbXizH9+l7hVitY/RwZMRKK6aqZEbTVCv+ZrmJ9HWv37uHxhw/RGo0K8zac1IffvN9UAoohpt0v2rpX/06ss7Wdgv3Ntrb5paZ13Lx36B+xcxdOC+eG+M+CQySGaV5/xUlIMSeBWR226hyORRE9ah2mYZb2ikVJqDU/C+Ezg6ajRZylVPAHB2PnJiNd1KK3Mo6OBjQiSM/HRhLZMFLri7DnquGVHK2Q/DXFxbVbt8L56OsgNU9Qo5Hr+gz7tC9QYVgsI7BaLeDKFdSdw+V798akrtFQbAe2P+s9y/U+jWd8Wmcbc/xbS54fJgnk/3pke6B4z9G/00Ag/zryNBpl4byLwLkh/ouAY1mwU8qbpyxuP69FVeZomxVlIW9l64lZHYSW8JUYY4QP5CGR6wDWGf1CMsxelRhL7mWdsxqVY0MySQJWyrHyTsyyjEEjybQNSP5t5ATUAHD5xRfDecUSxDErKV8WwrkOQJ5Sgp0B3znc7Y7zFdVqNayNRthCiLgbSTvYaB9guhFUdq1nCVwoQ8xfpZa6hsba6xS7dl7KoNHQxKTlDxSfM3sPxrJ4kvx1ouAicW6If8ZgvrmgQ9HTlGU4MQZ49B5+3nZZRDsC1R2QToaJtXOsTtPkDn6XPVwx657flHXWkTlw19fBrJuDbncihW9Mr1c5x2q106QcRL5nDVUsI38gD8Mc59M5OsL6rVv5RLNaLXQA+k5kDX3VN4nxw/+DQcj9027DZ22kqS6YvkETtk2Td/ReUGevLpsmnZS1RRlsllFN7V11fRRqwJH0W/Lf3uN6Lw4RT0LI8NjTCvc8N8R/gi9eHCMW5z4rjrNPLD77NHp3SyYn3cnNEyI6bycbaycle34PUOwACFpntOzGBNVsBhKkM/jwEN3stYb6flz7HmD9jk1eimm+VZZ9bNSi3xZlxMS2IHmMz/fOHdT1bV61Wj5DmhPeGB3FN2EdHoaQ1ezVk77TwXA4RM/7cUK1DvLY/kOErJ57KOb7L0NZ9IslWduWtgz91nKA+Ki0hmKCOX3HA8k3dm/GytRniWStIwHr++KHaa/VT6AdgSaqWyTODfEfTd9kZiiZ2JswZnHNEp877/Htg79oHPc49sauQpnVpt/297yYZuHrEJ2W7/gdt8zXz1BH74GDAww6nYlXJpa9+D1G+NZSjFn4XOfNx9Z/Wrx6WYei2j+14yaAlve48uKL+ft7+QYtvoCo3w9Ef3gIHBwAu7vA7i783h767fb4Hb2cxMUXtrdlGZfzUyVXlDlU7fmSQG3+JEu4sefXjp6sxGclHE0Nrtdslk5ZrX9a9Ky73oexe5TEr/VQmWyRWEnifxRUkVaVtbBMxMhklvMo01ZpWdmHkIgdp2roPKveq+vV2tdy+FC1EMh+A0BjaytMwmKu/iwmH7u76I1GY2JT0u9Fvoclx4pp95aUdCRSJUvZEYsF20olAh1NIKsnX73YBNDsdLD50kv5KyP50vNuN8xA3t8HHj4EHj7EcG8PneFw/HL2Q+Qkr+karNzFdVXWqm2vmiyPWeeFF76geJ/ESB+It6W9TzQCqYfiNVPJR+/zWKdMC96ORtkGmrSO14kdA48xkPWUnOxkvkXg3BB/Z9kVwOTNpiOHMl9B2dCd28aGpCfpc7A3LsuPDZ1jhG9JRa0h+zDp8aysFCP84zrteBwFHxrmiN90Do2trZCqmNkz+QKUoyP4vT10MmmH1r4Smg23s475Mste29HKUUDR6RyL6y/T+VmmTZxGzVivEx2tbW2X27dRX18PhL+2Nn7bGHZ2MHr4EN12e0z2+8jTM/ANY7HJaloHJXxar5bASKxqwetoBfJdR3Ydkb9TuY54p2jv8bLZ0/oM8Jg66WwNk87XmmxrR2laH1svls3tNOutNRDU+i87x5PGuSH+RTklZwWHmUr+lrRjlo59sLW8WY55XNjhqNajjKysRQXEyV/38eY3EJcqpo185jlXXgvWi866rezTuHQpZM/k26/4tq39fWBnB8Pd3bEVq6Sv+j6tfz1mlZUfkxtmteyn6fosk7CO5BFMOulsmY3vf+yFF1DrdIJzd28Pg8ND7HuPPQSy30cu3Wh+/Fh9bSdFq5XftGRV9qETlB9rWetxasglus3sN8kqZnnb31XpM2w7D7PzHSJcd9aP95V2rNrmvPf12/oDNKxX/Qj6Uetfy14kzg3xn0ZFZ7G0a5HtrDXIZToSYPk2mqGqHo9iCaseqvXRutibr4lJYou9SYvl0VrSG18tnbKOrkyisb4Ue/48Dh8ejc5Zdw7Nra1A+JcuBauWVn724hPcu4fBwcFYp1bS78j/WEhmlXav9VNS0oycavnrgx0b8U0D60brluXrS3N4XO2YR95j8/ZteASLfi/7HGb/7flbC5nXgwTGsm1HMELerpQ3aPmOJ8ohl2/03tEIKb1X9UU/RJmPpGxUZTsx2/Z6vXqYfM0kzxtSBp8z2/lYmUg7QHbE9vlTf8CicW6I/6Tf7B4j62m6d5VsYZfzRtCHiMtn6TjKyKUKsRuGdejJ+nEuGjmGjSu2w09bP2sF6jI7G9HuZ9+VqmVPux7jnPjIojGazZAqeXs7xKxvbeW56IfDIO3cvw/cv49etzsmuBjpq2NNz9/qvla7t+0Ry92j2+rvWIdnt1HELH97LHUmakgqM2sOkev3at3baBwSUdk9oPXUe4HyUw/FSBXV1vX9yiRPK9M45PMkaHnb6BtrWfNjHaqzjr5se1LuYxSQjlSU9O0IWJfruVH7j91P2okuGueG+E966KM3jtVtdZuY1R1brheSUKur7GJaq0PlhNhxYvWpshqt9cljMOTMWvdqjdQY+sfwP8moWQdQtzlxsnjw0WBQOOfxjV2rwWdvtLId4AQBSq7+go+Bb5pqNsN3q5WnIWZqgdEohCZmTsvRvXvoDIdjGUMdlQxNZBgi28eOduy9YeUcm7bBEkrMeVmF2IjALtM6kCQHyB9qkhfPm4kOOdOX56z6uFqgOtGJZVaNdPSclaRryEeBrFffrKfEUTPleBRfEO+RGy2aGJFEbyWdaSOCslEDTDl0YpP8GQJqyVs7LcJ2+APkIyZr/duR+qJwboj/7oLKVdLXizlte7tMiVMxbw9OK0stoUeBHtvWzVoiarHUAAxHI9RKXv7tYu+7zXK+1ADA+7xj4IzRLFNnocOIvVWLs0p1HX8zdYB9926jEcrv9YLjcm8PuH8fg93dsWWrhN8x36yRWvl2Uo+SsBKFzckTsyLtiKbsHouRUEw7tqNIkqYSiXZCSq5KkAqSj1r31plpO0CWaeuu23JykmYU1bd3UbazddQyuS87NxJw7AVKaujErkdsOZ+BmDNY8zP1UZwHwOM3So5loeXqeQPl98QicG6I//kFlGnlG006NW17BS+8apZlzh4tC2YZ96UUcxy5x8Jah3oe9vzZBhNWrmRyHN+kg0F4qLvd0mPyWLXBAPVse67nCKDGToXpA/i6RUo1HG2MRuOOY5zumaGZzuWvPux0gpV//z7ag0EhMoUWPj9czkiZaRq+yleas0cJNhbOyLKsVKhWIsvVspWEbIejHYDKSVaG4roqmc6OeGmJc/TQwOSMU9tBqD5tiV/LZXvTkkf2mySq956XbyV/jS4i+evolb/taEw7SGvt12VdDcXroHKSzvHoIZsfInWtm2PT+veyDa+Bjmaq7rtF4NwQ//0Fl1+QOObcj98xix+Y3eLnQ1vmULXbzjMasHWISVpsA9vp2HpwHR86u421dNUxVxhhjUb5MHc4LDoPDw+LD4LITY6OWx11ZCmE/f4+Or1ewWGpD2tHPuzOYh2htax1+G9lHSvv2DJhfkOWaZuprhzL7lll7VsSh1luoftb4ieJq0Gjmnwj8ls7DCtV6jolf46WWE8SKIncOjqVxNlOmibC1sWOAmIykHZWOqPWdgIDKYv15zVazz4xadCOApyUba+ndl6Lxrkh/oMFl683KjD5kJZBrbh5O42quiziBoiRA8yy2KSgmPNRO7qqttKRhLYxOxh9QHXEw4d5TKDZqKM+GKDZ7RaOzU6Q2vUB8hmmJJYB4tq2trMl/ZqUDUxa4WrxW8vcEh8wSf6WvOmEZ2ipzhS2I7fYSM6iyuDQdSpz6beSP9ub14WyqDpd1XEZG10qKWueHw2npIyjEWaQsliuZkfVwAQaI6wf7yePcj9ATKPXiVYamso68JroKEDlHx2FaPkx5y+vBet14YnfObcG4DeQX6+f8d4/G9v2NCZwVRHiPPurpXHcOpSRxTywTsGyY9lls3SCse3KQPLQYyqh2OWxTkXJw0YkESQQ6vZqTfJh1aRqaolyvfWx6DBdpRyr/fJbz1nPk+dhz1etVxJ+WRw9Ycne3mdKkFXyol1HIhrKN4lPrwuJvimfFvJ2tta/Wv2W/GPyjZ5vbHIaZBvuq/XTCBw1HnTUwf1ier9a3xqN5Er2UetffQA2WMJGGilUgjoOb8yLpRK/977rnPuL3vsj51wdwHucc7/svf9du+1p5K94lJ72UQi6rKyTKo9QKyx2TH7P0ulYa7YKsdGLJXerf9s4Z62jWlSsg+rASih6PBtdpRFX6ui0IYxWwoEsV72XFqwSHUc6HpNtqVZ+LMLIyke6n4U917LtylDml2CHyGvITsrKQLR4h9l/tf71OsW0+K4cx36YRI1EpfMHdMRDftD8SuuYlIJiHYAdxVmy1w7AoVg/jYhi27RQlKHsC2vsCEPb+jSsfeAMSD3ee6bhYScZNVBtBMIiMI8Wf5x1s+KkCX9W1Ep+z7JdjNjKyopZgFXHt+VaOUofogGKGSKtBQ8USUf/8/rH9HytN4mcD7qmNeA2SnrW0cmySVAke3VC29GFokreAU7GYrRlqDTBD61cxuyT7NThacnWybeVCXkMjtSU/NdQlE+0jsoN6n9hW3IEYAMXYiMArlO5x563bQPWRevMzlyPbXP3a/k8/9MI5QTOAPE752oAfg/AnwLww97798a2O40GOaljnFavfdJQfbFKa7TWj4UdKcS2UdmAD5a2v1rnWo8RisSqH5IGCRUoPuQ6+1JJn8fhTGSVRHTOgcaNk/TtbFe17NQi1klHaukzo2XPlFM25D8NGcAejx2d+i+A4mjJRjmR/El6KsUMMenzYXnqkxmZY7CsWFgp70V1lqqznCSsqRjs/cNIJtsJ6P0eG7XY6B91/vK6svNiB6bRPzQYRjg98l868XvvRwA+wzl3GcA7nXOf4r3/Q7vdc/L747LPWcVpP5wniSrLnbBEoHAlv4G4HMHt9EGKbWOPz29a8/wfi01namZ96HSUoA+6Ep1N3UDwodbZv0qKqjPbXO+6L/PZc4QS0/PPAlSO4H+gOAqIyTQqn2inO00mVNmni2J5qt3bKDzWQztOkjA7adX/tRy9/3i+vFZK+PxvP/SFWD+BdgDrKMpX9r44iev/+wDeN8N2Syd+wnu/55z7dwDeBGCC+K+feo1WEzbeuAp2mM5lMR+FdSTSIo45wQgbbsmHQkcLfICAyZf16DFiE37UUcjtdcSjMfBO9iEh0QHLc6Omb6UF9RXQ+qSlz7BStVYJ28G6yLJ5ELsmVeVM8zPpvaIWb4z8RwjtDxT9JzyOlmfL0d9sKyVuXh+ti0ZZ2dGIdgA6CrDW/xBFYnaR31byoZ/HtoMGAIwQMo7qva9+rEeRej87+xD/smS7ZUf1vAJA33u/65zbAPCFAL5/mXVKmG51xzR5lWXUkgGKw/URctlFU+7qEJ4PTQ9FYuKD2zAfWlsqzbBzYIy1zbNCi8w6bjVED5i0BIfI5wFoGgKek77VSSUeSgB8iYkNN62StuwoitvPg9g1Y/n6rcfhcWPXOVYGMBmJZMl/hMkZ8h65QximLJswzkZSWauddddOWttX37nADoDvbbDzAaylr9a+tpNtLyC/f/Se1PqwQ9N7RS3/RWPZFv+TAP51pvPXAPwb7/0vLblOKw/roFRYXVRDHYFJQgbyB5YPcgOB9C8D2EZRglH9m/+5P49vj6HyCaM7YqTP7dUpaInMLlMtWSeBxZLeqaWvnYzKFsxzr/KOHku/yyQWmOUknVlGArbMmK+jCvZ+0GOqr8aGwA4RyJXLdA5HjIQ0Okp1d9XtOXnKRs9o+gTV0bXzsSGY/ax+63KesdnHSvTqoxjKflzHeyT2Yfuo47uFPI/PorHscM4PAPjMZdZhFaBEAlQP+XnTqkxhiUKtepZLjVwn0TRkXRc5MawhEP4lhPz5LSmLljvD9vjgqzyk0RheyucIwaH4Bi47UYzHsZaVjeJR0lcrUeUdyk0qHaicpJ1SzNJXxDrZmEWulm1sv1iUSFncf6wTsNtb2O1iH2DSWtcoHSV/6zh3sqwrZdmRg3Um+6xM9Rnx/rA6upVi+mY9y6EPSYkeiFv9QG7JA+G+0LQUtn2U9NeRP3en4eNZtsW/0ojJKFUX3Vpls1hpSl6Eda6p3MGbj0NglWxYllrbOnyuYVJ7paXOl4BT4iHpbyK/CfUhZeeiDla1ELWjYAw8ibyF3HpTGYnnqiTC46r+atuNspMmGmN91NK3ESwsU99Ja/P9A+W6rlrSCmuFWmhnYS3ysm1ZrtapDDpq0LrrcW3nYy1etr8NseS9oETLDkBfjjOQclT6ASZ9K5THypywKk+xvE3kHUlMuuS3q/jNcFZtf3tNeH56/pL2cGFIxL9AVDlqlEyt49NquErSdVlXK9leQSIHcmvESjW8+XkTkpw3kWuPWh6J3yMnQh2u6mvytG51BHIk4VPfZD3KXuzCNtCHxCF3lGrenSaKoXP68g4leH0YafFpu2qnqJPCSC505MakJJILLf0jFCdmlZGtRczZa2W4sv2VfFX2sJZn1fFj9bP3mcpMNUyWyTa3HYC1/rXDbEq5NADUkdqXcpWweb4bZn+VZGz6Bcj+OpFMdXgdxdnnQZ25QPH5VNK3lj+XqdVv67pIJOJfAKxWqyhzmhHW6WituxhpxF5sAhSjTIBirLla7EpGlEhI/FYXV8KxLy2xr6rjg86Ho4HwUG6jKMEARYtb9+N5WRLQ6Bh2PjXk79zVUEpXcgw+5Cq76MM3kuNYS9+SvrX01ZFL0lcZwEaFWGtcO0zt9PUTu8+0jjELfBT5r98WvB9jEgci56P3ry1HU2goWdt33fJeUhJU44cjQ7XYrayljlNLqIzKGcl/lsXOXSOKCM1JxAgl7USdWaYj2brZlve3QzAMlPiTxX+KsMO445bBHtxqgnYb6yzisXlDWF2blga34XK9Oa2jUImfRMLlOqQemO2pja8hJ2Y7UtAHgw+EdaBSFx8il4G2kEswvNl5vrFoECU/7ST0zVl8kFV2sfl8rBygpG/bTSWsMnmH56BSkpMyORKJWfqWyCC/lZS5nNfaWvoxi18lrbr5tuUrCasj3TqJ7eggNgpQKUUxMtsNZXks5JPnYOP9dWThkEdVsVyNjgKKRBx7aQrkN58BHWFpsnFn9tNnwrZX3fwnket22gYcaath8ygcNCtWnvjtwzPNAuI+VWXFrDK7jT7EejyrWSuhUfNWR6pqnQqVbZooRgvoDTYyy/Tl1vYdp1a7HsoyjapQUuXD2UQ+imDoXF22VeK3cox2knzIbWrlWPy8kr59HSSXcX89jlr6up9KWdq58CHSDomWPi1Ia72Xjfas9q/SWoz4y2BJf55OwI4KtH5qKVsCVeOirAOgte5leyvVaLy/5mTS41nrmfuqpGKNLnUks75qYOn9EesA+Syq/yBG/vqf9wadtlpnHktlVhpCi8bKEr+VDgg+GDpc1Ysfs9R1X52mr6Rg99eQRLVyeeOyDtTF1zA57NWHOOYTUDKG7Kux5VZ/1/A4bRt9uEmYfMgt0XIbWmG1rNxt5H4DbqthnnaUwPLVklTSZ6di664drkpGSjJVlr6dlcv12rmovKPnzBm5HbM/yyjTb49D+rasmP7O41JuiHUC9nfsY0mtbNTCNq6ZZVam5PWggWPJVokzFvGjHQfbWK31WFma6luf4SGKz5aOQLpmnY7COUKusvpV5rHkb+VGJi1T/8OisJLEb8lXbwJecJUF9IbVEEfbIWg8t80qaKUWXacxxbSinWxHK8PLch3S64Np66IOJr3hecPxIVXytKRvSVEJXcMrrdTBB5Lhm5sohvDFSF8nsGiHRUsx9lJ0xutrBIa2q1qYOhKxIwp7DJ07YGUkGylE0qcjVyNQtO0tYpZl7P6MWfp6z1qU6fJlnYG1nvU5UCNIDQ3bCVjLPFYXraseV/9r+Xq/l3Wa3F6fhR4mCZblqWzI/7HJWUr+QLGz1XpZ8leyt//tKIfr1Ul8GpmIV474ecGUpNWi0ItNguPDwQewieIDoxY29XESUU3KBIrEr2TKm9USn1rTupw3a5WlqLMBdT+WxX0dJvPZKMGUSSZW0uK50BlKi20DuXyk50ICJjnrSILnolYZCTkWr08y1o7Wzoq1oxVtE0jd1RGrlj6Pw85OOzp15Fp5R9tQYYf96vuJkb6SZ0wysMeKffO3Eq6Way3/2L1SNQIoO1ddbmWRYclylWti5G+31+ut6T6UcD3y0bMdOSn5q+7Pe08NMjvypjWvx6nJekS21Q5PRyuxQI2Txrkh/pOsKB9kas4kLt7gmvNFb3iVcYDcauLNQH2cxG+tcp6HyiK8wazMwXqqZalkBUxq4yyP9ayV7EdrQ49Dq9lOp+fNTlJUS1uP42Ubau8Okz4DEosSfcwK1wdL4+it78NG8PB81dLng6+jC56DrbtKD9qZa+einWdM09eORdtdYYlbO2UdRVlJwpILUCR9e0x7He3IQ4lUCYp1o1/JjgLKRgD8XTbCoYGgdWcHymVHUh6J2zrRCW1HXkft5GNWNqRMtfyV7Iky8ue3Hfnp9dH7S61+oFgnmGV6/EXh3BB/mRUxLyhpbGcfviuTF5fWmt64I+QkZ2PUuZ1KPNSa1Qq2ljhQvFFoJfNmValGRw2WdOyNGrPCLTHoKMOGJlrSZxnqqNXORX0UJEGWrWGhLFvbuYz01TJl21jSj4VT0hpVa1/PNxa2CRStditjqaXPEZz6OqymH3PkxhAjfTUKYqQfG+GVgZLh0Pwn7DW2HQVQvMctobFNuZ3uQ7ID4vKMtqH1Nel9YEclSrTO7Ksf7YyU/EdmnbXaVRrTth9IWVbmqcv+lHz0WbVGG+vI50Y7K65PFr+gPn2TmdBEHku+hSJBx4hUL6C+yo0PADA5bZ/Wvj7YKjFZy1sJhJ2ESkrApO6t1qslTHZQPIbuN0DxRmNOG2s1Wwmkb/axkQ36QpERcmtcsxAqYbIePfkPTD7U1NzpzPUoWuH6flZrjfL81dHMc7OdkIZtlpG+noPWKzYjVy1soPhgW9LnfaGkz21tqOMspF/W4egxtTwlQPvhckto7IA1HLNsBKL3EqGGlSVmff5U7rEdJNdbUuX9yHoMpBzdRo02lXBgytMy9D0Per14DfWa6bF4v+m9N4p8TgvnhvhPalIDZ44yntzGndtYb2DS0rDDePUXqNVsCdlqw1YqUF1ctX21Qvk/lOLsMAAACcNJREFUFv/szDHUQgPyjoYEpeQWI30eSx2dWre6lKnkzHLt7Fy17q3GT+gDyFGQJkVj2dbJqvIV253nSktcrwPbg+fHc6yVHMP6ZGw+fZWHeB7W0lXZgbCSmSXDaUP/2Drev2UOXl/y35KV7bw0Gohtpd+2c4p1AAoS70i+tf5WK1eSpYHD41jCtZMBbacU63DVkNPja2fNe6aNyWdBLX/ee1Y209/aUagkdBpYSeJXzZlWnMbD2x5YbzhrMZCo1Lmo28GUoY4pWpskzKGUpx0SyUytVGu56zHYVrae+nAARZ+FbV87QmA5OsQFJsmTHRf9HFbisbH6dj4Ay9YOhcTKc1NS1nqwndShpz4TtWqVwG0ED9vDXlPeJ3zw2Vlb0i+zuJWErKWoxoK1/mKShh3VWMQ6oJgDVo0CJR89Jx2FqLVvOxVtf9vBab30mEr+BI/vkN9bdtTN9qLRNUI+UZFzVrQjUNmrh+KzwjJZP23vmGRDy/8I+WjQJibk3Bk9Rx1lAPl93pDzTcRvcFLErxYcH2bVeq0DDShGyOiFUX2wId+06AlL+kCR+FXb581oHc48FolMHZc8hlr8OiyvyX+Wx5vUOpAh+1iJJ+ZwpPZpZ+hqzh4SpratlV+0nWhR6mjDo/gqv6Zsq6MYIG9/7RyttWhHHyrxWEuuIcdhZxTbF/KtUDLX66Vlq6SnHZVCRzT6iSFGzkr6vKcs+SpBxQwFbmtHaXquur+ev91W66HWsI7YSP4NFP1CamHb6xRzAut91s/Wd1Ac8eqzEpNjuM4abT0EQ4fnFPOzsV21c6+heB6noe0T54b4y6yoecEHW3VN1WGrrKcY1Iqs8kPYm1ClCX24dFgLxB8Yq2naupTBWpFqOelyJQJ9ELW91KrWCVIqXWjZ+vBbScEel9toeJ4+JGVzL/QcYqM2RPaxEVF6HH7sKE2jqeyojtvFyNBey5r5aHvH7pcRJtuxCna0x2Oqo1frrMv0nCH7NGVbS2j2XGw9+Fs7SoXuZ+UVazjoPmpYaQis7Ti1XA0sKJspa30f9jxYTmzkrW1oy7PnWjPrTgMnxacrC1fye1k4iTqc1nlYazWmiVehrJ7z1N92nLHjzluvacc5T4jVe5b2XdQ9VNaOxznece6veY9zFjghhkT8CQkJCSuGRPwJCQZn1UpLSDgpJOJPSEhIWDEk4k9IMDivenxCwqxIxJ+QkJCwYkjEn5BgkDT+hIuORPwJCQZJ6km46EjEn5CQkLBiSMSfkGCQpJ6Ei45E/AkJCQkrhkT8CQkGSeNPuOhIxJ+QkJCwYkjEn5BgkDT+hIuORPwJCQZJ6km46DgTxO+cqznnft859/PLrktCQkLCRceZIH4A3wLgD5ddiYQEIEk9CRcfSyd+59xrAXwxgB9ddl0SEhISVgFLJ34APwDg25Gk1YQzgnQjJlx0LPWdu865NwO47b1/v3PuOipG2e+S358I4JMWXLeEhISE84YPZ59pWPbL1j8PwJc5574Y4UX1l5xz7/Dev8Vu+KWnXrWEVUXS+BPOKz4x+xC/WLLdUqUe7/13ee+f9t5/PICvBvDrMdJPSDhNJKkn4aLjLGj8CQkJCQmniGVLPWN4798N4N3LrkdCQpJ6Ei46ksWfkJCQsGJIxJ+QYJA0/oSLjkT8CQkJCSuGRPwJCQZJ40+46EjEn5BgkKSehIuORPwJCQkJK4ZE/AkJBknqSbjoSMSfkJCQsGJIxJ+QYJA0/oSLjkT8CQkJCSuGRPwJCQZJ40+46EjEn5BgkKSehIuORPwJCQkJK4ZE/AkJBknqSbjoSMSfkJCQsGJIxJ+QYJA0/oSLjkT8CQkJCSuGlSL+Dy27AhccH152BU4IZ1Hj/+NlV+CC433LrsApY6WI/6IQ01nFRWnfsyj1JOJfLN6/7AqcMpz3Z/E2L8I554EvOYGSPgTgk06gnIQ4UvsuDqltF4uL2r6/AO/9xCB2pSz+hISEhIRzZfEnJCQkJMyLmMV/Loj//2/vfkKsKuMwjn8fEYk0LIoxKBIqKpLAzNxUMG1KIrBcRBKNEUQLa1GL/kDgIoKahauIoCQkDKHAEhc5RLWoiCz7o5QliJqhk4sKzcFCnxb3SFdxmHE89x7nvM8HLnPOO/c9PHO493ffebnvORERUZ9M9UREFCaFPyKiMMUUfklLJe2U9IukZ5vO0yaS9kj6XtK3kr5qOs90J2mtpFFJP3S1XSJpRNLPkrZImttkxulqnHO7WtJ+Sduqx9ImM/ZDEYVf0gzgVeBuYAGwQtINzaZqlRPAoO2bbS9pOkwLvEXntdrtOeAj29cDHwPP9z1VO5zp3AKssb2oenzY71D9VkThB5YAu2zvtf0vsAFY1nCmNhHlvJZ6zvZnwB+nNS8D1lXb64D7+hqqJcY5t3B+LtjumVLerFcAv3bt76/aoh4GtkjaKumxpsO01IDtUQDbB4GBhvO0zSpJ30l6s4RptFIKf/TWbbYXA/fQeQPd3nSgAuR72PV5DbjG9kLgILCm4Tw9V0rh/w24qmv/yqotamD7QPXzELCRztRa1GtU0jwASZcDvzecpzVsH/L/C5reAG5tMk8/lFL4twLXSpovaRbwILCp4UytIOlCSXOq7dnAXcCOZlO1gjh13nkT8Ei1vRL4oN+BWuSUc1t9kJ60nAJevzObDtAPto9LegIYofNht9b2Tw3Haot5wMbqshozgfW2RxrONK1JegcYBC6VtA9YDbwMvCvpUWAv8EBzCaevcc7tnZIW0vl22h7g8cYC9kku2RARUZhSpnoiIqKSwh8RUZgU/oiIwqTwR0QUJoU/IqIwKfwREYVJ4Y+IKEwKf8QEqhXfY5K2de1vP4fjDUs6IOnp+lJGTF4RK3cjarDL9qKu/SmvfLT9jKQjNWSKmJKM+KNokhZXdw+bJWm2pB2SbjyL/ldXd226RdJKSRurO2XtlrRK0lPV77+QdHF31x78ORGTksIfRbP9NZ0Lnr0EvAK8bfvHyfSVdB3wHjBk+5uqeQGdm6QsqY55pPpP4UtgqOb4EVOSqZ4IeJHOFVzHgCcn2WcAeB9YbntnV/snto8CRyX9CWyu2rcDN9WUN+KcZMQfAZcBc4CLgAsm2ecvYB9wx2ntx7q23bV/ggy04jyRwh8BrwMvAOuB4Un2OQbcDwxJWtGrYBG9kBFIFE3Sw8A/tjdImgF8LmnQ9qcT9bU9JuleYETS4TM9pea4EbXI9fgjJiBpPrDZdm1z9JJWA4dtt/7+rnH+yVRPxMSOA3NPLuA6V5KGgYeAv+s4XsTZyog/IqIwGfFHRBQmhT8iojAp/BERhUnhj4goTAp/RERh/gMHSMghrUDcdgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f26400200f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sepPlot.Grey(plt,velDouble,label1=\"z [km]\",label2=\"x [km]\",color=\"F\",grid=\"y\",title=\"Background velocity model\").output()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Born forward"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "BornOp.forward(False,modelDouble,dataDouble)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Born adjoint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a model vector for adjoint result\n",
    "modelAdjDouble=SepVector.getSepVector(modelDouble.getHyper(),storage=\"dataDouble\")\n",
    "\n",
    "# Apply adjoint\n",
    "BornOp.adjoint(False,modelAdjDouble,dataDouble)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Display results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pcXwaTbxZKeutQhG/gsIcYGSBGkWcyGRosVigaRra29vR29sriD+bzaKhoUFsL5cbAKYct8lkEi6Xq4CIyconoqcQQ708YuRILvYuW+768ytm3XPORbar1+sVbSNHZiwWEyMAr9cLxhgGBgbgdrtRXV2NWCyGSCQitPNMJgOz2TyjdEQhoSQjyQRLoOtAMsv4+HhBZ0mf6T4YdQa0H6NRAB3P4XAAACYnJ5FOp+FwOMAYQ2lpqRjdAFP1g7xer9g+GAyK+wtMOYAJFoulIEubtpkvKOJXUJgFeqKk7zJR6Ek/m82ipqZGOG6z2az4TJp+Pp8vyDKtr68H51NJQQBElEk0Gp0m7xw7dgxWqxVmsxnV1dXIZrMi21Tf5pmIXH4R0crnSpYxOTap7fJ6Ohey8DmfKo/g9XoxNjaGRCKBlpYWAGcd03a7HR6PB4FAAHa7fZo1T6MiWr5ixQrRmdD6YiOvsrIyMMZQXl4ufCCTk5MYHx8H57wgKUweEcj7k/crS2kk1VEOQD6fR1lZGTRNQ39/P7LZLNra2grOhe4xXUvy2ejbLz9bckLffEARv4LCHCAToywzyI5VWeKRiZ4xJqJzcrkcWltbYTKZBJERKQAQOnF5ebkgF+CsbGEymXDs2DFBIq2trSL2Xa+BG0kk+u9EoJqmobq6GpqmwePxFFjdFOdO+rY84iFSowgV0rbD4bCw8pubm4UlTLHyZWVl6O/vR0VFhajBQ+2Rr2FDQwPKyspEpqx+1KKHviOg8ygvLxdO1UAggIGBAdGRyp2APn+AMSbkOGCqE6B6P5xPhXkmEglRE8jr9YoSEOFwGCMjI6LsBvl0EolEwbnon7PzgQUnfsbYTwFcB2CUc756odujoEDQW/qy7EDLyWkLnHXqylafpmkIhUKCDDs6OsS2soVcW1sLAMLad7vdoqOQJYre3l7YbDaYzWZ0dnbiyJEjwoKkTkJus77tMvmbzWa0traKDojaJVvAAERymExYckcATFXWzOVymJiYQDgcRiqVQlNTE4CpqpjUYVAZihMnTqCxsVHIMUad5urVq4UjnM5JjpQBimfDFvPBaJqG8vJyVFRUCAno4MGDSKfT0zoBepf3R/dXfjYqKioEuXM+5Z+JxWLIZDKwWCyIRqNYunSpSMw7depUwegpk8mIjry5ufm8kP+CEz+AfwfwzwAeWOiGKCjoYSThtLa2CqkFOCsF0HqykjOZjKjt7vV6EY1GBakReWiaJjTgsbGxAmcnaf9ExKlUCk6nExaLBUuWLMHw8LAoKRAOhwuiROROSn41NjbC5XKJkYgs11DpAbJe6fxpG03T4PP5RCfhcDjAOUcoFMLIyAhSqRTy+Tx8Ph98Pp/Q+s1mMyYnJ4VTd3x8HEuXLsXJkydFhAwRfDqdRnt7Ozwej8hroGtQzDKfifTl0ZmRjyOfz2PFihWiYFwwGMT4+HjRkYB+/wBEFjA9C5ThS/KYXBpicHBQtItGDvI+5TkG5hMLTvyc812MseaFboeCAkEvl8ikTyV6V69ejddff72ABGibtrY2oQOTjJHL5dDY2CiITtb2yVFJ1j5JLmTh0nbRaBQ2mw0lJSWCkCwWC4aGhgQxUXupw8lmsygtLUVNTU2BVEMWJkk01B6bzSa2lS1PuSREKBQquC6ZTAZ2u13UupEzVakzWbZsGY4dOwa73Y76+nqcOHFCyF3UzlQqhYsuukh0mHT+sm+DzplKUR84cGDGPIbVq1eLtpJVTiMgvd/D6/XC6/WitbUVZrMZBw4cQDQanSYJ6UcdMmjEAgB9fX0Fo6OWlhbh1Jcd95xz4agHIJLe5hMLTvwKCu8kFCP9XC6HTCaDZcuWgbGpmjJUntdqtYIxhkwmg3Q6DYvFgnQ6LUI0Oeeoq6tDOp1GKpUqCHMkiUeWPIApeUT+TqRvNpvR1taGnp4etLa2Yu/evWCM4cILL4TZbMa+ffsKRibUNmpHKBQqkHyoHX6/H1artcAJSp0XdXYAhDxRXV0N4GzeAZ0XSUXUITQ3N8PtdqOnp0fU5BkYGABwVhrLZDJIpVLYvHmzGDEBmBbFtG/fPiSTyYJOgCJqiuHw4cMF56lpGkpKSqBpGjZs2FDgt5GvSS6Xw8qVKwtCOffu3SvaNJNPQA9aRhIPdWi03Ol0Fjx/AwMDwgiYLyjiV1A4AyPSJ+s5k8mIuu6k865cuRIHDx4Uv89kMli1apUgzFQqJXTdfD4vnLBEMkRa4XBYFGejksvAWcckhYaazWYsW7YMhw8fRltbG/bs2YN8Po9rrrlGWMLpdBrZbBZdXV0FGcGJRAL5fB5OpxOMMaG1p1IpxGIxTExMCKlFTi7SW59EzCRfUHE1GZqmoaamBuXl5YjH4+jr68Py5csRjUYxODhYIC1RZ7l161ZRHgGYkkysViusVisOHDiAWCwmQh71CV8zEb9M5vSd7s/u3bvF9V25cmWBlKV3gDscDmzdulUQfnd3N8xmM0ZHR6fJULO1jZ4tYKpTkEM3F41zd6544YUXxOempiY0Nyt1SOHcQU/6smRCEk97ezuAs/HYXq9XRG8wxoRlnM/nhSNU06bq6o+OjiIejwv9npyMwNlpFun48oiA/AWMMbS3t+PEiRNoaWnB3r17kU6nceWVVwKY0pkPHDiAdDqN1atXCys/EAggn8+jurpayDzj4+MYGhoSVqWmaairq5sWwUOad7EIFBk0smhtbRXTF/b09MBut2P58uXYu3evqCYqW/rJZBJXXnkl0um06KgsFgtsNhtSqRReeeUV2Gw24dsopu0XI1j9d6OXpmno7e2Fpmk4cuQIbDYb1q1bJ8JMjUZIy5cvB2NMvFNZ5meffXZG38BcnNBvB8PDwxgZGZl1u3cK8bMzr6LYsmXLeWqKwmKCkcNPb+mnUimsWbNGaPO5XA6lpaXIZrOoqqrCyMgIGGNYt26dsCb1Bdc0TUNZWZmI3acsTopzByCyXynKhiZoof04nU54vV5EIhEEAgF0dHTA6XRieHgYvb29MJvN2LhxI7LZLKLRKGKxGGpra0W7Jycnkc1m4Xa74Xa7UVZWhnQ6Dc6nqlTqCVEPIl7OuSB6ipf3+/0wmUwIhUIYGhqCy+XCihUrMDIygueff15kKpPFnc1mkUwm8f73v1+QPkXZ2O12HDx4EPF4XBC+XmOfydKXJTKj+2zUyeulvf379wv/w9KlS1FaWgqn01kwGpBDe2kUcsUVVxQQ/8GDB8V38mvI7TzXU2aWl5cLgwIAXnvtNcPtFpz4GWP/A2AbgErGWD+Ar3PO/31hW6WwGFCM9GWHI1n6FItPxO90OjE4OCiWETER6dK+6urqxJSJZWVl4JyLaA454oQsYSoLQMcnol22bBmOHj2Kjo4OPPTQQzCbzVizZg0sFgtOnDgBq9Uq6t6MjY0hl8uhpqYGg4ODiMViqKurg8/nEyRDDlo6b/klZ8UadQB0PYiozWYzenp6RL39FStW4IknnsDJkycRDodFopnsDE4mk/jgBz8oIoFoXw6HA88//zzsdjvsdrv4rZGlPxNh6tfJ52F03+UXdVDU3v7+/oLkscsuu6wgm9jIUUzo6OgQbVm6dOm09pPeP1/4+c9/brh8wYmfc/7/LHQbFBYX9CSgt/Zk0k+n03C5XMhkMggGg8jlcqirqyvIzvV4PKIqYzEiIG1cPnYgEEAqlQLnUxN9kOZO+/b7/aIQWDweR1NTE37/+98jl8vhlltuQT6fx4svvgi73S6ctpQzYLFYcPLkSRFtk0wmp8X5l5WVwe12A5gKzaTwTOqgZJClOjo6KiJqJiYmYLFYUFFRgeXLl8Nms+Ho0aN45JFHkEgkBGkDEFFGmUwGHR0daG1tRTqdFs5gsvRfeOEFUdLYiPSBmWeykpOt6DzlXItiz4D+WaD7RrWH5Nfu3btFR9DU1IR8Po8lS5YYOonl10yO3/ONBSd+BYXzhWKEr5d3ZNKnyI9sNlsgwYyMjKCyshLpdFpMJEK/pf3V19djZGQEnHORiUu6ey6XE1ZwY2NjAbFQaCNZ+36/H729vcjlchgfH8fHP/5xmEwm7N69Gw6HAxMTE+I8YrEY/H4/+vr6UFVVVVA62GQyoa2tTZA4kRVjDAcPHhRORtqfTLBEvmTh19fXi/LENpsNv/71r2G1WhEIBGCxWGC32wvKOVDHuGbNGtTX1xfIOzRJy65du+B0OmGz2YrKO9QezrmImprtnpPvQP4tgapi0r7lToCuv+yQlzv2fD6P0dFRaJqG4eFh8Wxs3bq14Pd6eUn/LC4EFPErLArMZOXLIZtE+slkEhdffLFwQpJFXVtbi0QiIaJwqFJjY2MjAoGAsKqpiBkwFSNPMzJRdE0+ny8ozaBpmhhRZLNZdHR0IJPJoKmpCWNjY+jo6MDPf/5zbN68GRaLBS+88ALsdruIKvF6vTCbzRgaGkI8Hkd5eTnC4bCQecrKyuD3+8XMXeFwGL29vaKejRwsQdeKphOUNWuz2Yw9e/YgFouhr68PJpMJqVRKZKkS4RPByqGwO3bsKAhzNbL0KWSVrHRZAydrXiZyOWlNLvRWDPJvKYpJ7gxoHzSFIl0PaoOmaaIjIHlOfo40TcPLL788rYOgHAd67pYvX76g5K+IX+E9jblY+SStUGghYwwXXXRRAelT/Xwi+9raWrF9Pp/Hxo0b8Ytf/ELEtXs8HoyMjBQQhaZpgvipg3C73UICIZKk2vwmkwmlpaWIRqP47//+b0SjUXR0dGDPnj2wWq0YGhoCYwxNTU3CWZrL5VBVVYVQKIREIoFVq1ahra0N2WwWfX198Hg88Pl8qKurEyGSDz30kKH0AUxZwkTCjE1lDycSCRHySSMAImz6PXVuVqsV119/vWgfjZqoE8lms8LSt1qtYr9E+pzzgqgnxpiQpOR7ChSSuhGp6kcNNput4Lucd5HJZMR+bDabGL1Qm+RieKTp60cE8jqKBKN2USjpQkERv8J7EjNpuHpZhSy/VCqF1atXw+12Cys1Eokgl8vB4XAI0o/FYigrK0MgEEA6ncaqVasAQGzT0NAgUu8TiQTq6+vFSCKTySCTyeCSSy7B0aNHkcvlYDKZxOTcqVQKnZ2dAKakmP7+frS3t+O3v/0trr/++oJQSNKW5ZEKJVIFAgFs2LAB7e3teOONN1BTUyOigJ544gkMDg4iEomIkshGVT3lDFWZIJ1OZ8HsX3JyF5F+NpvF5s2b4fP5hN+CZCUi+EOHDiEcDsPhcIiOQ06OkqUc0vuNtHP53srL9JAlIzo/+V2eF4DIW87EJcIvNhqgYxsVzDN6JhXxKyicI8zmtNNb+USYdrsdmzdvFtYerSOCLSsrQyqVQiAQQGNjIyYmJkR0SlNTE3p6enDhhRdi3759AKYyWWlyDbJ+Q6EQUqkUtmzZIqx+Il052qWkpEQ4la1WK+69917k83lUVlZi165dcLlc6O/vR2dnp2gnzfy0ceNGHDt2DFu2bEFDQwMOHz6Mzs5OhMNh/Md//AfMZjMikYgIzaSELrpOsvVK0DtT5W30nysqKnDZZZeJ2jsyeROxR6NRvPbaa7DZbHA4HILU6VqQtQ2crX1vdKxiTlR9+/XnIHdo8jJ9p8AYK5gZi87FaDRQjNz1y+SIn4WEIn6F9wyKWVRGWr4co79+/XrYbDZhSVMECs0TW1NTA03TMDk5KSJsqBzvtm3bhFX7ta99DXfeeaeQYEjbJccw/SaXy6GkpAQ333wzfvvb3wr5J5VK4ZJLLhGRL6FQCB0dHXjwwQfx0Y9+FGNjY7BarTh8+LDIECZHsJxc1tLSgvr6ehw5cgTLly/Hww8/jBMnTghJxm63TyN7zqfqx1x00UXTrp2sgRsRKOdnQ0ApY1neB5H6q6++KsoyGxG+TKpGhCq/9KGURhE1MvTkbpRpW6w2P/2eZDzaNxkI8khAviZ6hzGAaSOrhYIifoV3NfR/IPlPL5MCDdv1DtyrrrpKhBXKpB8Oh4UzN5/PY3h4WJROoDBMmkbwyJEjWLNmDVpbW/H8889j+fL1YybdAAAgAElEQVTlCIfDYiKVfD6PiYkJpFIpfPCDH0QikUBdXR2OHz8uqmqS1U5VPa1WK+LxOL73ve8BmKrnsm/fPhEnL5P+qlWrEI/HEQ6HEQ6H0dfXh4qKCnR2duKJJ57AkSNH4HK5Csi0vLwcV1xxxYyWs55AZyJ/qltEIN9AMBjE66+/Lhy2DodDjDbk4mckp5hMJjGHrf6lJ3mj6qNy9JQMInOjyerl7/rOQX+e8juNBuT8BIKcZWz0nC40FPErvGsxm6wja85y2V8i/fe///1C4yernCx9TdNEyn4wGBTRMePj40in04jH47jpppvgdrtRUlKC7du344ILLhBTCZITMp1OIxQKid/k83m0tbXh8OHD6Orqwv/+7/+ioaEBmUwGl156KTRNQ1tbG/r7+7Fs2TIAwM033yycnnInlslk0NXVhVgshmg0inA4jGAwiFAohKqqKvz4xz9GIBCA2+0W1mg2m8WHPvQhOByOgoqbRuGSRtKPEYHprWWz2YwXX3xR+A+ovk6xUsd0vYhIi5G+HHIrR2EtX75cTHpDGdNGxG8ymVBbWyu2NZvNeOONN0SnpO8QaB/6PAI9aHu57fK1peMT5JHBQkERv8K7CkYWPr3PRBIUgZNMJnHttdeKaBwartNnOXO2rKxMzA9bX1+PSCQiCLy1tRXt7e3o6enB2rVr0dnZCbPZLGZgam9vF0XaUqkUkskk1q9fD02bKtrW0NCAl156STgU0+k0KisrEQqFRFjj/fffj1gshtLSUjz33HMACidoWb58OeLxuGhjIBDAyMgI1q1bh8ceewxHjx5FdXW1ILGWlhasW7dOXCci6cHBQRw9enSadappGjo7O0VnQxO+EBhjougaYwxHjx4tIE6HwzHjDFfkXJeLws2F8KnUtN/vFw5xWidvr2+rbN1TR9Te3i6If3R0FMFgsKATkENEjRLJislCsm9AH4YqjwwWCor4Fd4VmAvhG2n5crRLOp3GNddcIxyiZO3n83lEo9EC4qDs3HA4DK/Xi2w2i0gkgkQigWg0iksvvRRmsxklJSW45557hDWuJzIq3xyNRtHe3i4knjVr1uCv//qv8alPfQq7d+/GHXfcgZGREbGf5cuX46c//SluvfVWAGcLlwEQ9WMonyAWiyEQCGB4eBitra3o7OzEnXfeKbJKc7kcduzYISZToUqeO3fuBABRKkEmL7qecilh+kzQx9nTPmSip/3rnadEfnp/gxHhy/eyvb1dfI5EIgX3UCZ/ObQTgCHpy5a+xWIR9YvMZjNOnTolJs0xkoNon8XIXwY9CxSmKl9DOVT1fEIRv8I7FjORPb0bEb4cl0/W9vXXXy8idIysfNoHOWRJ16c//ejoKBKJBMLhMD7zmc+grq5OaPsjIyO4++678fLLLwsLsbu7Gz6fT0Tv3HTTTcjlcrBarWhra8Nf/MVfYPPmzdizZw+CwSDcbjfsdjtaW1vR29uLb3/72wCmyPTFF18UmjFZvtSZUZtGR0cBAJdffjluvfVWfPjDH0ZzczMqKirw4Q9/WGTJWiwWPPfcc4YlEWa6B0aav95harRMftF9oZBOOe5/JsLP5XJikhSa0lCOvNJ35PIk7fLIhl4UTkptkN+p0/b7/eJzKBRCKBSaNiFLsYlZjGQz/Wf6Lo8MzicU8Su8I1DM+aXX8Ys5/GSLj2QdcqbKlj8RQz6fF7HzckSITPqxWAw1NTWC9CORCD72sY+hubkZ3d3dqKiowJ133omVK1fCbDYjk8mIHACTyYQTJ07A4/Egm82irKwM1dXVOHbsGNasWYNwOIy1a9fimWeeQUlJCb7//e/jtttug9vtRldXFyYnJ3HTTTdhbGxMZMQCU/JLS0sLksmkqKUfCAQwODiIhoYG3HLLLQiFQigrK0M4HMb27duRTqfhdDrBOcdzzz0nHKxyzLw+SsfoHhiFIspkp3+nz/JELsUIX995U7QMzeVLORVE+uSr0b+oQ6C5iqmNnE+FXlqtVthsNhHdRMvkF3UKdI1sNhtqa2tF59vf3z9tNEOdslEHaHR99J/PNxTxK5w3vJnIhtmse9mBayTr+Hw+XHHFFQXOW7nejr7mvcfjETMzjYyMIBqNoq6ursDSz2azaGpqQjgchtvtxksvvYRwOIwtW7bg2WefLZBLNG2qDr/D4cDtt9+O/v5+mM1mNDY24q677kJLSwuOHz8Oq9UKu92OkZERbNy4ES+99BJ+85vfoKSkBEuWLMGLL74oiIWsVyK/VCqFaDSKsbExNDc343e/+52oJOl2u7F06VLE43F4vV5YLBZR20cOozQiJ+DsVIuc8wLdvhjkfciSGS2TE7CM7qds4VM0VTabLbDwSa6jgnOJRALxeByJREJMaVhdXS0ymEnuIWnLbrfD4XAgGAzCarXi5MmTcDqdcDqdcDgcoiOgl9wByJnKPp9PWP9UmTUYDBYNEdVfn3dCJ6CIX+Gc4a2ErBWzLumzTBRyOJ9M+HJMvtVqxfbt20X9GArRJCKgssqypECTkGSzWYyNjSESiUwj/YmJCfzt3/4tPB6PkHi+/OUv48YbbxQzbFFGJ7Vx7dq1OHz4MKxWKzo7O7F//35s2rQJkUgEH//4x7F7926hcXd0dOCTn/wkfvzjH+OLX/wiPvvZz+LZZ5+FxWJBaWmpuAbV1dWCABOJBEKhEMbHx7F9+3YMDg6KipnPPPMM1q9fLyqGPvvssyK6x2q1TouoIeh1fuBsuOJM0BMXEZxRpI58P2XS55zD5/OJCd/JgqdkOPJnxGIxZLNZNDc3w+PxIJVKweVy4bHHHisY/ZEFThIXdXT3338/nnzySfj9fjE3wcGDB8HYVFayy+Uq6AholEBykOwnIGKvrKws6CBpKk0aeRi9Zrp+840ZiZ8x9ps57CPAOb/13DRH4d2EuRD9bNvM5rQlq9Eodluur0NF1fx+/7QhP/1OrpNPL6q/w/nUpCg0SUogEBCkPzk5iW9/+9uoqanBG2+8gbq6Ovzpn/6psMr37t1b4LiTa7UfOnQIt912G+69916htzudTjFlYUlJCbLZLKxWK9xuN7785S+LjF0iGiIFm81WcM7xeBwTExNobGzEZz7zGRw/fhyJRAInTpxAdXU17r33Xtxzzz3YuXMnqqqqCjR9ap+RBPNW7uNMxKUfvcnyHPksSkpKRFavLNWRZU+RS6FQCG1tbchkMvj85z+PrVu3io5hZGSk4J7T+ckRPVarFTt27MCHP/xhYdU///zz+MpXvgK32w2v14tUKiVGAy6XC06nU8wNQL+R6xTpHcd0X2Xrn3wbjDFEIpGiUtD5wmwW/3IAn5hhPQPwL+euOQoLibdisRf77Vw0e/132SI0Inx9bR3Sjnfs2CFCJ2nOWXluWJpdSh4xWK1WVFZWisStiYkJMWMVEX44HMb4+Di++93vwufzIRAIoKSkRJDRn/3Zn4kOpaysTIQoapqGq666Ssyxa7FYsGfPHmzatAmhUAi33347Dhw4IMjD6XQil8vBZrMhnU7jox/9KB577DE4HA5RLx8ASkpKRIdGMs/o6Cj+53/+B6Ojo4jFYuju7hZySz6fxxNPPIGurq4CospkMoKQjJyL52LkZrRO75OhUQT5RRKJRIHTWs5P0LSp2vebNm3CvffeKya8GRwcFGWuDx06VCADAtMdrnQ/6GWz2bB69WoxujKZTLjjjjuQSCTg8XhgMpkwNDSEbDYrJCHZL6DvBGTnrz4SiD5Tp2Bk/Z+vDmA24r+Hc75zpg0YY39zDtuj8Dbxdsj77exfT+AzbS8vkx2Get1X1oplwqfSBx/4wAfg9XoRj8enhWdqmiact3orv7KyUkywMTk5KWQTv9+PRCKB0dFRIaHcfffd8Pv9Ytu1a9di27ZtWLp0qZgtyuFwCA1elhleeOEFYV2/+OKL+Na3voWKigpEo1FomibKHlutVmERapqGnTt3Ih6Po6SkRGQLO53OgvpBiURCTL+4YsUKHD58WNT68Xq9aG1tFfKDvg4OlUI2Iplz/fwUc+DSLGbkZCdJJx6PiyzkUCiEpqYm2O12/PCHP8TKlSsRj8cxOjqKVCqFAwcOiGQ7vYxEZab12bNEwKdPnxY+oZdeeglmsxkejwcOhwPf//73xT09ePAgPvvZz6KyshL5fB4lJSXo6emZ5hPQRwhRJ6JPCtMXt5spomo+MSPxc84fmm0Hc9lGoRDzTc7nug1vhuyLOWWL/dYoUkeOxSb9nob/dXV12Lp1KzKZjLDWZcKXa+LoycZms6G8vFwsGx8fRy6XQzweR3V1NeLxOMbHxxEKhTA2Nobrr79eTFZy5MgRtLa24uqrr4bb7cYNN9yAXbt2CYsdOKuFX3XVVRgcHBTJRTabDffccw/+8i//Er/61a/Q29srrEnKIqXzTqVSqKqqwunTp+F2u0W5YpILyNqPxWKYmJjA1VdfjfHxcSSTSbz66quw2+1oaWmB3+8HAJSWlgrLNJPJiCkN53Iv3y6MSF8OK00kEgUht7FYTGQfd3V1we/3i1LX8XgcPT096OvrE+U0OOfifBoaGgqsatm6pw6VfgNAPAcyqCzH008/DYvFgmXLlsHn8xVMoP7Vr34VAJBMJoUv4Pjx46IDGB0dLfAJFBsRGFU3PZ8dwJycu4yxDQDuAdB85jcMAOecr57Htr0rsFAkfi6PO5dherFlemmGlulf8jr9tnrNV47SIcK/+eabhcZNmq5sXctJWHrC1zRNTAZOxx4bGxNSQ3V1NSYnJ4WsMD4+jj/+4z/G1q1b4fF40Nvbi4aGBnz+859HPp/HrbfeKibedrvdQtsnSzaXy+Hll18WMpPP58P69esBALfeeiva29tRVVUFAMLap/MKh8Pw+/14+OGH8ZGPfAQulwtut7tgxJNMJhEMBpFIJPDd734XBw8eFDNftbW1oaWlBTU1NfD7/Xjf+94Hh8MhpCRKAjO6n/r3twN5X3RPZIcyWduJREKEygaDQbS1tcFms+Gf/umfUFNTg2g0iueffx7RaFTc65aWFjDGRFgqES1FSMlhmNRpcs5FOC/dK33y15IlS0RbySA4dOgQLBYLSkpKUFlZia9//evCwTs4OAjGGG688UbRmdXW1sJut4PzqTLPr776qmiHPjpIzhAmvFOkHsJ/A/gLAN0AFqSu6DvBSn6zmI9h83weV59gMpPjld6NLHdZS5ffaTt5aF4sJT+dTqOzsxNdXV2irgxF6shJOmQt6vdJ706nE16vV3xPpVIIBoMiK9Pj8YjoHZJ3NmzYgMsuuwxutxuTk5NCgz9+/DguuOAClJaW4plnnhFESpp6LpdDV1cXjh8/LjTrZcuWob29XWTMtrS0CCcqRX3QyCAajWJkZAS1tbVobGzE8PAwKioqRJkGan8kEsHExASqq6sxNjaGRCKB3t5eOJ1ONDU1obGxEU6nEytXriyQE2hkor+nRvdRf//fjFVazE9DMh11XvF4HNFoVIRC1tTU4LrrrsPtt9+O0dFRPPLII6K0RmlpKaqrqwVxUmgmWd3/9m//BpPJhLvuukuMpIhwSW6jZ4fa86Mf/UgQ/Sc+8YkCKZFCf7u6usQ1GR0dxc6dO8U1XbJkCcxms5D05PDN73znO+KcqAQ1SUN9fX0FoaKUfEfX93yQ/1yJf5xzPpcIn/cEzpc1fa72M5djFAsf0xP9bNa8vJ3RUF6OlZdfRkQva+JE+HfccYcIQSRipFLGsn5PDj892cvlemtrawvaT/OjUsG1fD5fQPpjY2MYGhrCD37wA9FZxGIxbNiwARs2bEBpaSmuuuoq7Nq1S1iBsoxAs1/t2bNH5AYMDw/jZz/7GVKpFMxms5i9izpZGtkkEgkEg0G0t7fjgQceAAB0d3fj6quvFtM4apqGeDyOYDAIh8OBXbt24ciRI+jt7YXVasX69etRW1sLn8+HlpYW+Hw+JBIJLF26VJCLPlyzmNSmJ/83S/x6Jy6N3vSEHwgE0NnZicceewxOpxPRaBSPP/64mK1ryZIlooMloicJzO12i07A5XLBbrdj+fLlhtIKGRZysMAPfvAD0a5vfvObYv4EktIAiI6KnLs0YqBzOnr0KA4fPgwA4lilpaX47Gc/W5ApTFKdPBn81q1bYbFYUFlZOes1PdeYK/F/nTF2P4CnAYjiEpzzX81LqwygJ593Euaigb/dfeqtLz1xz5RcY7SPmYb3eqtPlk/05Cp/18fW6+un0DYXXHCB+PNt2rSpoKoi/eHkfdB6ivgoNqIg6cXtdhe0N5VKIRQKie3q6uoQjUYRiUQQj8cF6be3t+MnP/kJysvLkcvlcOLECaxfvx4XXHABzGYz7rjjDgwPD4NzLmahkju8K664Anv27BGdVXl5OT73uc8hkUjAZrPh85//PLLZLDZt2oS+vj5BArK1TxFFmqYhmUxicnISPp9PjCqoPIPb7UYwGEQ8Hsfk5CSWLl0Kn8+Hp556CtXV1fD5fCgpKcHFF1+M4eHhgmxZ6nToJUdB6Udk+udrNuKXO2L5WaBIHSJ8j8eD6upq3H333bj99tuRSCTwyiuvYHx8HJqmoaqqCn6/HzabDW63Gx6PB9/5znfwy1/+EiMjI/B4PGhpaRGhlnLMvV5Hl6O6NE2D1+stGGXKSX4ULdbR0SFGk8lkEl/96lfx1a9+VRA+bevxeMRzSm0fHh4Wz4kcuVNfXy/CPc1mM3bu3Cm+zxeKlYRgc7QWfwZgGYBDOCv1cM75beeqgbMcn3/pS186H4cqitmuk9H6t0P8VLWxmPTyVo6nt+j1vyMdtJg1b2S160slUCdw5513FmTL6gmBkp3k0YEc/y5n2BYbNeitUzkmH4Bw4HLOEY1G0djYiGw2KyJ5yHoeGxvD5OQkfve736GsrAyZTAbHjh3DunXrsGHDBlgsFtx9993weDzYtWtXQZglkf62bduQTqfx6KOPIpPJwO/348iRI3j66adF0tG1114LAFi7di2WLVuGvr4+cD5VI76/vx+lpaX4zW9+g76+PpjNZlRUVKCsrAzXXnutiC8fHByEy+XCU089hZ6eHoyPj6O7uxtbtmxBR0cHWltb0dbWhlQqhRtvvBGDg4PYvHmzkBtIkqBrSBFGcn6EPvMWKD5zlf4Z0o/kyGKOxWKi5s2KFSvwzDPPiJHb888/L54Ts9mMZcuWwel0wuPxoLS0FB//+Mfx2GOPobS0FF6vFyUlJXA4HCK0kuQf6uD0dfWpffpzkp9Haq9+4hy5M5CzhpPJJEZGRgBMkSsZJbIUqa8ZNDk5iUAgUHBN5Xf96OpcYPv27eCcT9vhXC3+jZzzznPWmreA2TIHzzdkS0jvmZdreb/V0QA9oPJ+ZtqnntTlIaW8T5ko5d/pCV4v1eitetmau/zyy5HNZrFy5UpB9sFgUNwz+Vxkrdro2LSOOiBZJzbqeEpLS+FyuUQbCZFIRPxBs9ksGhoaEA6HEY/HRRx+MBjEyMgIOOdCasjlcjh69ChaWlrwj//4j8jlctiyZQvcbjdefPFFWK3WAoknl8vB5XIhn8/jySefBDBVm2ZychKrV69GKpWC3W7H9u3bkc/ncd1114kOjUiCRh/RaBTDw8OIRqM4cuQIbrrpJtxxxx3CvxGJRDA5OYnbb78dw8PDiMfjeO2117B69WpUVVXB5/Ohs7MT0WgUO3bswIkTJ7B582YMDAwUPJ90HYPBYIETXS52JsfZA9MrbOr3Jz9LemknFovB7/ejuroa3/rWt7B9+3ZMTk7i1KlTOHbsmIj0aWtrQ3l5ObxeL8rLy/HlL38Zv/jFL1BeXo6Ojg4h8djtdkSjUSSTSaTTaUH2LpdrWqckP3vFRsXycyVXac3n88KBXFNTUxBskMlkcNFFF4nOIJFI4NZbb8X27dtx8cUXF9QTov9JTU0NqqurC55VuU2cc4TD4XeUxv8iY2wF5/yNeW3NDHg71vObPYb+WPqsxplkGM65IN1i+5vNcpfXkVNM/+cykr6KWfTycWRiJ+gJXrbk6bPb7RbLPvWpTxVY+rlcTtQtkZcXkw3kz7Q+FosZjjSMOiRymsnWJWF0dFRsR3VU6urqMDY2VqAxBwIBjI6OwmQy4Ve/+pWInDl8+DD8fj/8fj8efPBBVFZWYuvWrULX93g8Bbp+Pp/Hxo0b8cgjjwgrsaamBidOnMCDDz6IZDKJvr4+jIyMiOeipaUFb7zxBsrLy9Hf349IJILW1lb88pe/RE9PD4aGhuBwOBAIBPD6668LoqWol49+9KM4fvw49uzZA5vNBp/PJyZ0yefzuOGGG9DX14cLL7wQmqZhYmKiYMjP+VSWspwdS++cF845TJBLHlBkjpG/gEZz6XQaa9asESGaa9euxT//8z8jFAqhr68Pe/fuFYTvcrmwfPlyeDweVFRUYP369YjH46isrMTSpUvhdrsFAY+Pjwt/iVwbiaQ3mjdZfrb1zx8w3Ym6e/du0Yklk8mC/x8AkROSz+dF6WYABSOC5557Do8//niBRLR//37BCeRXopGQkTFL5TnmG3Ml/gsBvMYY68OUxn/ewzlnSic/VyhGnPohotHvUqmU4e+MrHCjB3GmfdMDoidBfbvlh7zYucl6u7xM1tNvuOEG5PNTM0XRMtlBRgXOaF+yw0svxdByqr9O29L1kdunvzZ6wq+oqBChcvqRC01kzjlHIpFAZWWl0OqJ5EhjpglL7rzzTnzoQx+CxWIRmn5lZSU2bNiA9vZ22Gw2fPrTn8axY8fAGBOkT+3M5XLYvHkzAoGAaEtFRQUmJiYwMTGBXC4Hh8OBP/mTP4HH48G6detw+vRptLa2ijbL0xCOjo4iGo2ir68PV199NVasWIG6ujrccMMNeP3117Fq1So88MAD6O/vF47ItWvXwu/341vf+hY6OjqQTCaRyWTExDDd3d0iWYvaODw8XFAGIRKJoKmpCRUVFSKBKp1O47vf/a64vn/+539eUONHvhZ0PeheZTIZ/Mu//Avy+TzWrVsHu92OWCyGgYEBHDp0COPj4wCAqqoqNDQ0iFDJT3/609i9ezeqqqpQU1MjCudNTEyIeQ5ksl+zZg38fr84r8HBQQwMDAhDwuj/A0yvnEn+AtLhCWNjYwCAAwcOgHMunj2adJ2ef3I+01SbskS0Y8eOgjwUGg194AMfMDSG3mnhnB+Y11bMAUbE+lZg1IHoiZU+A1MPSSKREJ9l6K3vYmRstG4mkgYKh6gyoeqJW96mtrbW8BzkY95+++0F50skTcQuO1rl2jZ6nd7onciQcy5q3OvbUew6yZ9pn1arFTU1NdOORchms0IzJYeqzWYTOi1Nk0h6figUwuTkJIaHh3HBBRfgQx/6kKjcePjwYZSXl2Pjxo2oqamBw+HA3XffjVwuh4mJCWHlkbWfzWZF0bOXXnqpIAJpYmICBw4cQCaTQXd3t5hPt6qqCvX19di3bx+sVisSiYQYvfz85z9Hd3c3otGoqNtDx4xGo9iwYQM+8YlPCOLZu3cv7HY7ysrKcNttt6G2thbhcBg7duzA6dOn0dzcjFQqVWCp53I5DA0NiTyAcDiMjo4OTExMoLa2Fvfdd58gLnkiccYYnn766QJHpN5i1hsS9HuKz+/u7hbPrtPpRFtbG1wuF0pLS1FeXi6SzpYsWSKSzsLhsEg6I0lk48aNwjmbSqXQ09Mjnh/S+zVNw5o1awxHjsB0H8XRo0fF8p6enmnnd8kllwA4O9HMyy+/DGCq46b/qtVqFaNWeSTs9/vFZ9l4OnLkSIHFPxcj8FxirsR/Jef8p/ICxtjfA/irc98kY0xOTp6zfekvspyAo7emZ4PeuqVl+nUykcsEWWwkQdtVVlbi2muvLZBj6urqCsiSjmE2m6dJOPpz1IdBGlnoen1f3pf+TyRPVShfWz2ZG11//XWx2WwijJKcv3pfBVmjJENQCV6/34+Kigrk83mEQiEkEomCmjbkxD19+rQoT0yEcvLkSVRWVgrSt1gswkrfuXMnPB7PtCJsuVwOGzduxKOPPgpgStd3uVwYHh7GD3/4Q5FQ9slPfhIVFRXYuHEj+vv70dTUBJPJhGAwCKfTiWAwCK/XK2SX1157DZs3b0ZpaSnKyspw+eWX4/Tp0/D5fLjxxhvxhz/8AX19fXA4HFi1ahWqqqrQ3d2NhoYGbNiwASdPnsTGjRthsVjQ09Mj8gzo+pJvo7q6Gg6HA3/1V3+Frq4uxONxMTLq7u4W95SKyenrzNAzZXSP5ZBb+flsbm4Wjlm3242KigrccsstOH78ONrb21FeXg6Px4OJiQlYrVY4nU5BwBdffDGcTqcIuaVjdnR0gHMOl8tV8GwVe17lbQgdHR0F/xMAwtijgm20zuFwwO/3i5IQsVgM+Xwer7zyijAqKUmOZFr9SFjTNDHSo/ZUV1fPC/m/8sorhsvnSvw7GGMpzvl/AwBj7F8AOM5R2+YE2Rs+H6A/tGzZzvU3HR0dhg9aS0sLNmzYUDB60FvuAATJ6fddzNqWh7H6bYu1XU/0RrKT/kXty+fzBdE+Rvs1ag99NurcHA4HOOeoqKgw/HNSR0Jx1eFwWKyj8ECHwyF0U03TCurmU9mGaDSKiYkJjIyM4KKLLsLu3bsxPDyMdDqNkpISHD58GBUVFdi0aROqqqpgNpuxZs0aLFmyBM8//7xwJsq1eLLZLK688ko8/vjjonMqKSnB+Pg4xsbGsHbtWnDO8eSTT4qOiKJR9u/fD2BqtGIyTc1LW1NTg0984hO48847AUxFidTV1aGiogIWiwUbNmzAq6++Kmrs33fffWL9qlWr0NjYiGQyCZ/Ph6amJpjNZrz22muw2+0FYZxU2GzFihU4duwYHn/8ccRiMbzxxhs4ePDgtNBbTdNE9BJJPKR/A1OdsPxMy/eWzq2+vl6EL9psNrhcLni9XuzZswd33XUX/H4/WltbhRxEDlXGGKqrq4XlPjY2hpMnT6pFv0AAACAASURBVIJzDq/Xi7a2NsPnSh6F6B3PRtsUA3UkLpdLZFnTb3t7e3Hq1Ckkk0khe1144YUFWdyvv/46AAhZS//fkK19xljB830+MGfiB/AbxpiGKdknxDm/ff6aNR233HLLvO2bbobVaoXD4RC63Uzb07tMzATZSiY93IgMixG0DH20CudTEowRjGQlYLqUpSdZvdZuRORG7TPah/4Br66uLsho1G+jv3aEiYmJAvKXa+/U1NSI0U02m0UoFBIRMiTtkFNxfHwcQ0ND2L9/PxwOBwYGBlBeXg6TyYS+vj74fD6sXbsWlZWVYIxh5cqVuO6667Bnzx5Rh0dv6W/btg2BQECQJE0YMjo6iv379yOXy+HYsWO47777kEqlcMUVV6Cvrw8XXXQRJicnxVSLkUhEkPbw8DD27t2L9vZ2OBwOlJWVwW6349SpU6ipqRH6MlXo7OrqQllZGcrLywEAV199NY4fP46LLrpIzAEgR5tROymp7Ne//jWCwSCefPJJkSzV0tICAGKUIMMoo1TeN90rWUolGY2SrzweD8rKynDJJZcgk8mgra0NpaWlYmRAUTlbtmwRWcbHjx8XdZm6urrE/5LzsyUgGGM4dOiQaI+R49kI+m3kfQNAV1eX4X9jyZIl4rc0Z+6hQ4fEPq1WK7xeL/x+P9asWTNtFEHXDICYaOd8Y8Y4fsZYhfTVA+DXAHYD+GsA4JzPrxl+th38v/7rv+b1GPTHNnKczvQbufcmTZRQzCnMORcRFPoYXqP9G1nSxbad7bs8LNaf41yPY/Q7u90upvebbR8E+Y8QiUTEZ7oPNJUh51OSl9xhUnSOnFBDkRTkwB0bG8PExATi8ThOnz6N8fFx4Qc5evQofD4f3ve+98HlcsFms2HVqlW4+eabBenTzFVy6OaWLVsQiUTwhz/8AQBE6OnIyAj27NkjJlbfvn27iHT6oz/6IxGNEgqFRI5Ge3s7OOcYGBjAzp070dfXh5/97Gf4/e9/j2eeeQbXXnst/H4/6uvrcfDgQQwNDYlywQ899JCYvN1ms2HZsmXo6upCMplEf3+/KBJGIxXKls1kMnjwwQcxPj6O5557DhaLRSSI6Wec0odtGhGUfgRJv6OMVbvdjmPHjqG3txff+MY3RCy+x+MR7aK2NjQ0YMWKFQAgQm2rqqrQ1NRUMGomn83AwIBhzH6xduph1DnMxZhpamoCMOWc1v8faJ+nTp0CY0xMyKI/ns/nm/G6nit885vfBH8LcfyvAuA4E8Vz5v2DZ14cwJK30yjGWAOABwBUYyox7D7O+Q+Nth0cHKTfFCyfaQhntG4mQptL9I7+u5EFrV9v9Fs6DlnCxTqI2azuYu3jnIuSBfRAztSemc6x2Db6P4kc/ieDhrv6NhBIugKAxsZGww4xl8shFAoVJBfJCUIUpUKzZQ0PD+PCCy/E4cOHcfz4cQSDQTQ0NAAAent7UVNTg7Vr16K0tFSQ344dO4TjzuPxFDhzc7kcLr30UgDAnj17hOyRTqcxNjaGp556SsSU79ixQ+jjN954I3p7e7Fp0ya89NJLyOVyIsuUwhNPnz6NQCCAcDgMl8uFj3zkI0JPr6ysRHd3N1KpFLxeLxhj8Pv9+NKXvoSKigqMjY3hhhtuELH6fX19QuKhZ2tyclLUtInH49i0aRP+/u//Hs3Nzcjnz5Z9drlcKCkpgdPpxKpVqwpyVIqRE12bN96YivResWJFQWliimwqKSkRDl3qjGmEfcUVV8BisYDzqQRCSmyjwnbA1P+E5BMABbNhzUT4xZ5XCo8FIEZNRiRu9L8jH8Pp06cL2qdpmpD5mpubwTlHY2OjuE6E1157TSR/GeUWzGYwnQvMVpa5dZ6PnwPw55zz1xhjbgCvMsae4Jwf1m8oW4fnGnShybqcifzl7QEIy2W27YptQ5ZuaWlpUWt6tn0ZdWrySOTNWOGpVGqaQ5VzXkDOxdomW2XUCcjDb4J8ruTEpO+y9EPWtOzjILmFdHxy3obDYWHlyzMy9fX1we/3w+VywWw2o6+vD/X19Vi5cqWo5HjllVfi0ksvxdjYGDRtKimMSJ/8Ps3NzWCMCWcutW1sbAxf//rXYbPZwDnHI488Iizrbdu2YXJyUszcFY1GxexaPp8PwWAQ4+PjOHXqFO666y4xYvra176G+++/HwcOHCggDrfbjUwmg+rqakSjUZSXl2PDhg3o7u7Gtm3bsHfvXiGXEFmPj4+jtLRUZJX6fD54vV4sW7YMExMTolDdf/7nf+K+++4TMfN1dXVzqhlP9+Tyyy8HADQ0NIhrJ1fOtNlsogaO2+0W0UyrV68G5xyhUEgk073vfe8T+2eM4fDhw0ilUtNKGdOL/A5y5F+xkbKRMagPHCm2vVzkzmjUTJ2TbAzW1dWJzpr2tX79+gIZ0+i4843Zpl5czznf93a3KQbO+QiAkTOfY4yxHgD1AKYR/3wXMipmuc90Izg/G9M7lxEFUEjSjDHxAMnWcjGSN9r36OjojHqmETnLbZmpvfrfUoim/lrJ77RPeSIMGfpOVZ6AhMLj9McgC59kHTnxKBqNYnJyEmNjY+CciwlKjh8/jlQqhYqKCjG14cDAAJqbm8XkHlarVdT3d7lc6OvrKyB9smY3btyIkpISPProo0JqoLDNF198UThFDx06hH/9139FLBZDRUUFfD4fTp48iba2Njz11FNwu92Ix+Oora1FKpVCIBBAb28vRkZG8Dd/8zcYHByExWLBN77xDTz44INYuXIlOOcF1vu6devEJONLly7Fvn37cPHFF2PXrl2oqDirzFIwRGlpqRgVdXV14fTp0wiFQnjllVewbt06rFy5EpWVlSgrKxNRN1arFcPDwwWkX0zzJ6tWzkSVSdlisYjzkpOurrzySnFvKZxSJnxgyjKWZSO5HWStF3tuyZiQDbk3Q6z6benYoVAIJpNJSLV0XywWiyimJ++DiuNRp0ZtIae17CeZbTR+LjGb1PPvjLFtmJJ4iuGnANa93YYwxloArAXwktF6IoX5wlwsa6PtgbNhW7P9phiMCPjNSE50bKPt5G2pk5qtc9MTb3l5OTRtasYoenj1hdD0HVsymRRWHS2juUbpGJQgYxQRJYe+Uco7hWdStE4kEsH4+DgSiQR+9KMf4dZbb0VfXx8AwOv1imzO48ePo6KiAqtXr8YDDzyAL37xi7Db7bjsssuwbds2DAwMYHBwEF6vt8DS1zRNZJSSpZ/JZBCJRBAIBPC5z31OhOUePHgQX/jCF6BpU4lm11xzDU6cOAGbzYYnnngCJSUlyOVyaG1txZIlSxAOh7F//34MDw+LWPd4PA6n04l0Oo0jR47g9ttvx759+4TRQ4l0VFIhlUqhpaUFe/fuFUaE0+kUE66XlZWJa7Zy5UoMDg6KEtY/+clPsG/fPtTU1Igw2EQiIUINSVYi6KcwpHUmk0kEMMjrCYwxcR8AoLOzEw0NDdA0DaOjowgGg2CMYf369WCMYWBgABMTEwWzV9H+KJSXjkWlOigrWQ5LJmKWR75vJm6eOjQi59OnT4MxJiKWqH00OiZDQP4PULtKSkrEPmldd3f3tP8P+QxmUxzOBWYj/lJM6fwzEf/4223EGZnnlwDu5pzHjLZ5/PHHxefGxkbhYHmrMLrxb3aZfNNk8n2rPfZsowWjzslsNs/ZaqfQR/0+9J9l4gUKo5To4aXkLnrJf25KjEomk3jwwQdntPr1JC9b93rCJ6mApuVLp9P4whe+gO9973sYGxvDwMAAKioqxCQtlKjU2NiIzs5OMMZQVlYGj8eDZcuW4fLLL8fu3btFKV2LZervQKR/1VVXIR6PF1j6wWAQwWBQlF6mqfv+4R/+ARaLBbFYDNdccw2OHz8u5twlMu/o6EBLSwuCwSCefvppTExMiExTuQzBiRMnsHz5cixduhTd3d2IRCIFk6RTiYXJyUmEQiFs2bIFDz/8MBwOh3D+lpeXC0t/xYoVIvyQ6goxxtDV1YXR0VGMjo6KcFOqRUShogSZ6OmapdPpaTKQ7Meh++xwOHDJJZeI5ZlMBr29veD8rKyTzWZFZA45iOlZCYVC4hmV51ag55Eivug5I2lwxYoV056vuVrVemNm6dKlBZ1RT09PgfxEzz91fFQrirGpiDT9iIlKM8g+PpKc3o7FPzQ0hOHh4Vm3m1N1zvkEY8wC4HcAHuWc/6DINvwzn/nMOT/2XIi+2DZGD5Db7S5aBnUuxyYNca6djbzOSCvUt5PqmcvES9YIJakQ6V522WUiZ4CsWq/XK8Jd5ZwBethNJpOYpq6/v1/UI5eh/62+NpBcm580fJJWwuEw0uk0Vq1ahf/7f/8vduzYIaxvh8MhCmKNj4+L0MWamhrU1taKuPKysjJs374dHR0d2L17N2w2W4Ejl9p09dVXY//+/RgaGgJjTJQ/DoVCePjhh9HY2IgTJ07g8ccfxy9/+UtYrVZMTEzguuuu+//Ze+/wOKpzf/wzW7Vdq96bJVvYFrYkA+6AwYAxlx4SbAghJECA64QWms2lhsAlJDc49GKKE5I4BsLjAMYBG8s0V4QsyypusnrbXe2uVqvdne8f4n05M5qVBIjc+Pe753n0SNqdOXNm5pzPed/P29iYTFI+uZ9OmTIFPp8PVVVV6OjowKOPPorTTjsNsiyz1Dw0NASTyQSXy4UZM2Zg9uzZCIfDcLlcnFefNrlDhw7h4YcfxjnnnAOdTseRr0VFRQzw06dPR0NDA/x+P1wuF1e8IjB677334HK54HA4MG/ePOTn5zMtQ/eu9uwh33wCOtF4L8410gqptbS0cHRrYWEh3G43JGnYL97n8zGIUg1lmhs2m41LVNL8KCgo4LlEm4E4l7SECS3gV681Le1bnN8E/uT5RBoPfXfo0CF+LjSn6DuK3SB7mXozIMGDYicmoj3//POQv0V2zu+yvQCgNh7oUyMPlYls4wV59d9qEB7tfHUbTY0jKkZsWj74WhM4EAiMuI7aS0mWZUWqWGCkcYkWzssvvzyqNK7uWzS8iQY4ug5dk4ylIo0jlhUUszrSb1mWceKJJ+Lvf/87Zzckv3laWD6fD52dnTAajbBarUhKSkJubi4+/fRT5OTkwGw2Iy0tDddffz1aWlqwbds29mShzSkajSIvLw+TJ0/m4CxaqO3t7ejr60N1dTWi0eHc6w0NDXj99ddhMBjQ19eH0047DXv37kUgEEBCQgLC4TCKi4sBDBs9PR4P3n//fRQUFOCdd97hZydJEkuAgUAANTU1mDdvHkpLS3H06FHk5eXBYDAwzREMBtHV1YXFixfj7LPP5ucpSRKXKyRpuq6uDn6/Hw6Hg+mkYDDIz3X+/PnQ6XRITExEQkICamtrFcXC1XQPaXv03PPz8zlwSZxHNE5g2LWRGiVkA4ZTJVAQmCRJ8Pv9nG9Jr9dzsXmyA02ePFkhHNC1xILrFAA2efJkzdxRotAxmvCk/lsEf0p70d/fzxsBNarKRZ9LkoT9+/dDr9djcHAQkiQpvJHoOiTU0N/fdftfBX5JkuYBWA7gC0mSdgOQAdwpy/I76mNFr5CJauPh09QThD4Tv4sHvurjqan9/eMdpx7naBNXa8zquASSmLSCx0TQV1M9YpSxKJ2row/Vk1kEerF/8tShvwmExHFt2bIFwHCVImqUwljMe04aCdU7tdvtSE5OhtFo5KyaiYmJSE5OxnXXXYfPPvsM0WgUTqeTFyBd+4QTTkBiYiLee+893rQ6OjrQ29uLvr4+1NbWIhwOo7a2Fi+88ALq6+uZTpk2bRqqq6vZq8btdnPh82AwiLq6OtTX1+N3v/sdZs6cyfck3h8AbN26FQkJCVi4cCEmTZrEoFpUVMTPKRgMor29Hb/97W9x9OhRxGIxZGdnc74mm82GKVOmoKamBoFAAC6Xi4vIU/rnYDDIIOlwOFBbW4vk5GSkpaWhvLwcSUlJmrl5CMwbGhpgMBjYX300jTMpKQkpKSlwOBwAgP3798Pv9/N8oZw80WiUnx+966KiIk6X7fV6FckEo9EoSkpK+DrkRkqCgSgoiesmnvSvBfxaNgvyRBMLvgSDwREFYCi5HwUx0veBQIDvnQzbYlNrAt9F+18FflmWtwEYV9pNMpxM0HX592jgrwYj9XdalMp4rj1avMBYgCwmURtro6CqSnQtkq7V0bLiNShKUq0piOOm48R+xIUi9qneIIBhGwC10tJSPPLII3HvmYCdtAIxVbRer4fb7UZCQgIsFgssFgv+/ve/47zzzuPFl56ejrKyMsyePRsff/wx+8eL+VRSUlJQXl6O/v5+vPfee2y0O3z4MLxeLyorK7F69WoEg0HU1NTgoYcegt/vh16vRzgcRmFhIdra2lhVLyoqQklJCdfCtdlseOaZZxT3eN111+Gpp55iACB+ff78+UhKSkJycjJTh7Iso7a2FtOnT+ci60eOHEF3dzf6+vqYWrFYLLjmmmtQVVWF2tpamEwmpKWloa2tDa2trWhvb8f8+fMRCASwfv16xGIxjq4999xz0djYiIKCAk4yJwZxJSQMZ2iZPHkydDodZs6cyfdPlBC1oqIixfwkcN+5c6dCeiZem2oakAaWmZmpoP48Hg8ikQgcDgdKSkoUGiNJ6qTNklAly8P1BhobG0doqaLWKTZ6FyUlJfx/U1OTwm6hPp4K5qSkpChsAG63G5MmTeJj6Rn09vby5qnT6Tgb6L/CoCu28Vbg+ieA38iy/A/hs2dkWb76uxyccC35hz/84YT2KUrF4mda38eje0SAGs/16LcoBWsdI/5Pk1UsjqEFzmITJWuxzijluNEq0iLe03ga1Rkdq02ZEr9+j0j1xGIx3kzExUkLW+RKyTfcZrPxYp0yZQpLTwaDAS6XCwUFBfje976H6upqhEIhLuNHUr4sy5g3bx6sVit27NgBj8fDEmNjYyM8Hg/WrVuH7OxsRCIRVFdX47HHHkMwGERPTw9keTgfE9kgSkpKUFBQwCkcfvGLX3CEpvg8Dh06BIfDwSkIaBOitMMOhwN2ux1NTU1svCeAXLJkCaqqqrBx40Y0Nzejq6uL009kZWWhpKQEr7zyCtauXYtZs2aho6MDTU1NePrppzFr1iz09vay4TEaHc6d73K5kJWVBYvFAr1ej+OOO44zj9JzDwQCnH6BtAGdTqeIG9CaR6IBWBQKKM2GzWbD0NAQU2I0z8W02pRxU0vr7ezsHJEPhzyXaC6JFbHEClni+iGjspqmEY3MYjwJ0VEirSkGrtG5tHGTa644fqK1vvjiC5SWlvJ3lP5hItrmzZsha3D84wX+AwCaAbwvy/K9X362S5blitHPnJgmSZJ87rnnTlh/ahCmCaAGvnjUiJo6GW9iN1EKFiUTrbEBX0kBYsFn4jzHs9n85Cc/GfHZs88+O+o58TQccWwkXanHoAYAUesQN1J10jm11iRKhWIQEEW86nQ6PPvss3jqqac4VzoANl6XlZXh1FNPhdVq5QIb5KpJEZbZ2dmcHmDTpk1siO7r60NLSwt8Ph9WrlyJpUuXor29nakVciMFwGkkKN1yYmIi+vv7MXv2bJx55pmKZ37ttdfCbrcjJyeH6QuLxaJIPnjkyBGOZqWygmTUDIVC6OrqQltbG2u/XV1d6OnpwaeffspeOAVf5tu5+OKLkZCQgMOHD2Pr1q0IBAJoaWlhnp+EB4PBALvdjszMTBQWFkKn06GkpATp6enM85OwQbEPdC6ldyDXWS2KQpIkDqyiOBCj0cibDtXepfw3NF/UtiBZlhngKbJXS/BRrzFKMU1OAhQDIgYGEg1DAX1Go1ERN0DzXRSiKOKZ5hQVfadzaT7RGhHPi0Qi7NKalJSk2JDE9TAR7e2339YE/vFSPR4ApwH4vSRJbwG4bEJG9TUahThPVKMHLHoPqMFdfCH0Gf2mF0mAPBpg0jlflxYSmxiwkpiYOK5z6P7ESUfJxdRjESel+LnaFVNcWGITOUy1Oq8GdfV5oqcELSIR7Ok4um9avLTYrFYrzGYzli9fzikHPv74Y0SjUfbaoXHFYjGceuqpTMts2rSJr0EA7/P5sHXrVpjNZuzcuRMGgwGPP/44V+6iscjycFrgSZMmIRAIYOnSpQoNJzExET6fj/P8Z2dnw2q1oqamZkRAEtE1YvAYaQOxWIzpp9bWVjidTvh8PqSkpGD37t3IysrCokWLFEbGdevWYdmyZdi6dSsAsGTs9Xo5lbUsDxuvqYC92WzG5MmTUVFRwTYKAuq6ujqYzWbU1dXxxkTjD4fD7HsvgiU1t9sNWR5OgkZzbOrUqYhGoygtLWVNdGhoCDt37oxLbdI8Vc9VcV4CYEcByt1E6TxCoRA6Ojo4XoLOJwFjYGAAZrMZbW1tqKysVMzV3//+9/je977HApvT6UR/fz8DvMlkQnJyMlNu4qYtCj00tr179yoM1K2trXxvtAlNRBMzi4ptvBL/blmWy7/8+0cAbgbglmU5Z0JGN/b15YkuSSZOHi1DD72su+66a9R+HnjggW88BvU14x0jSjAkxWhpGeKiE+khUbrW4u/F+1X3p7WY6Ti1twMZSwnI1a6ctMBEA5jJZOLzRP9teq733HMPS4cEQiQNV1RUoLKyUpEWoKWlBQcPHmT3TQq4keXhrIqUGG3Tpk18fVke5tApkVlNTQ2Ghoawfft27Ny5Ex9++CEXZk9ISEBqair3N3nyZKZ1qN10001YvXo1nE4nioqKkJ+fD4/Hg66uLpYG6bkRGNI4iHcXXQHp/VMu/QMHDvC8PXz4MAoKCvDAAw9g1apVPAYRdADgwIEDaG5uRl9fH9N99A6p8EtaWhoKCgpwxx13oLW1lWkmoqCsViu8Xi9sNhvHUthsNvT19bH0rxYUgGGXYbvdjlgsxmUtU1NTMTQ0hCNHjuDAgQNcuEWsUyHaiMQ5LEryaiGGKMNAIIAbb7wRAPCf//mf8Pv9vBGohTVx/ooSP90LCVCixE8ALdI8pJES8N9///1YtWqVgqKiTU7UZsQ1PdES/8knn/ytqJ5rZFl+Wvi/EsD1siz/eEJGN/b15Yl6EONtaulffBnqSTgeqkctWWsZl7Sa2otGnTOdmgjAdL3xXkPdB4GvFoCLUpCaE1WDOIGuaPhVU0Qff/wxTj31VADDcQwGg4GlP5LoKa2vyWTC8uXLFRkkCUg//PBDBlGDwTCCez7jjDMgyzJ27twJj8ejAN09e/YwIFBCtN27d+OJJ57g5GmxWIyzSk6bNg2hUAilpaVYsGABiouLMTg4iISEBBiNRrjdbpSXlzM4EgVA43E4HArumRa92q5B74DedSQSwcDAAHp7e9mDjOoSAOB0wDabDQaDAT6fD93d3ZDlYRtBU1MTRzqLGptOp4PZbIbT6URKSgqSk5O54EokEmHjrsViwRlnnMFalcPhgNPp5ARw6k2NmhqYo9HhwiVkhxLr/qptUmrApY2BNkFxo6DfJO0HAgEF2NNmocXx0zwXqRu1o4IamEXBiNJKiBlORaOwWuoX+1K/+4nEumXLln1z4P/fbpIkyWIBiIloonQQjUY1J6qoEcTjE0UVczzPUjxevUC0+qBrqCUh9XhEykSU+kWKhSRu+l/8TRK46L8tTmaSmkUjK+Vtp/9//vOfK8ZEXivi9SlClTaNoaEhvg71p9frceKJJ7KhkY6nsdDxTU1NHKVI59HmQ620tBT5+fmoq6vjDJYkXTc3N7NP9i233IJly5bhwIED6O7uxrPPPou+vj709/djYGAAiYmJKCkpgdPpRGpqKhITEzmL5ooVK/DMM88gLy8PxcXFaG9v53TDtAkRZUNAL/LOV1xxBUu8Z5111gijo1rgWL9+vcJWo9PpMHnyZBQWFsJms2FgYAA9PT0IBAKor6/H1Vdfjd///vc4fPgwWlpasGfPHkQiEc54C4A3WZvNBpvNhry8PDZck9RP2pbFYoHNZsMrr7yCe++9F0VFRRzcp+WjTuOnfEq0tgig/X4/+vv78cADD/B6JHC++uqrFXQlUSXk0qsl8VPfYlyIaOAV7Qbq9SPOZ7W9Sm0LVGu8ImUpamvqtS9eXxyzKBxOVLv++uuPbeA/cuTIhPdLE1C9e9N3aku+xrg0wXusawJfSRha0pHWOeqJojVpxWhCQJliQeTORf9sQAn6IhgA4KyUWvcg0juUroDujTxASFsg4x+NUdQULrzwQsWmRX2IwTEEPh999BGfTy6dNH6SfM1mM0455RQMDAygqqqKx02AH4lEsH37do6I3bx5M4LBIHbv3o2BgQG89tpr8Hg87KJJxVpkWcaUKVNgMplwwQUXcO6ipKQklJaWYv/+/ayhUD5/WuQi2NvtdvzhD38YIY0SMInAom7iBr9ixQqFDYEkddogGxsbUV9fzxWj2tvbUV9fj56eHk4hLQIazQ+RXjrhhBNY6hcpEQqUs9lscLlcqKyshF6vZ9473roQKY+UlBT4/X5s374dPp+Py2WKNIga3EnLFjUBcU6KApsY7CV6i4nCl/hctX7Ecau1frV2TP+LFJAaO0TMEZ+Huv+JarfeeuuxDfytra0T3i89dAIkNSDGk/S/HJNCcqXPxO+1rqeWzL/JpqH1zgj8fvCDH4zax/r16xXjlSRlOT2asNFoVKHyUq4VOk8E/fz8fJa2RcAm7UI9TlGlFrlsyumu0+k4L45oFwCUGybdMxkhZ86ciaSkJOzfv5+zItI5ZDDdt28f2tvbMTg4iN/85jdYsmQJ6uvr0dvbi/Xr16OtrQ3RaBQtLS0cI1BWVobs7GwusUflDRMTEzFjxgw0NzcjHA5Dp9OxIVkEqFAohBUrVmDWrFkM9qKXichvq9181fND3MBtNhv27duHNWvWICMjAw6HAykpKZg2bRoHQbW0tOD9999HV1cX/H6/wugpeomJQgJdk/z/i4uLR0iqAHhzpyI8ZrOZy1TGm9ei1EsUD0USk6eNSNuo6RU13cqZawAAIABJREFUVapFwarP1ZKy1WtI1IBH08S13o16s4hnFxPHqNYe1PcxUW3lypXHNvBP9DjFh6zT6bgo8VjStzAmAMDs2bNHnEf/x+tLNGqKICxOAApTjzdmsVEIvXrSUoEJcbMRr3nmmWdq8vk0cSlISSsRnBisAgA7duzQBGWt5yJK6cQ1i8eLC0jsT/yOpHvgq0R14kKk/kjCOnz4MBoaGjBlyhSsW7cOfr8fe/fuhd/vx7p16yDLw77lR48ehcViQVJSEqxWK6ZPn46ioiIYjUacc8452L59O+bPn4+CL5OtiSBMtEJ+fj7C4TAeeughBlqRnqDflGKa/lYH16kFCVFjMpvNXLB88+bNqKqqQkZGBttJZs6cCbPZDJ/Ph/b2djQ2NqKmpkYRAS/aGGjjEWMq6IcK4AwODsJkMrF2QhSpWtscS5gRpXLxOmp3RrV2K0rLWnQNHSOeK24i8daQlsA2XoEsHvjTZ6ON77sGfWDYOeKYBv6MjIwJ7VN82MT7itL7aFIB/U1Aqi7kAIx0g6RgDTpX1DBEemnRokWK4+JtHuLfYl1bchMEvuIKd+3apeAgybhKLqJqNVWkW+ItAJEPpf+13Dm1gD/eMWazWbERidcRn4fWuGRZVtw7vb8dO3agq6sLL7zwAk488UTU19fD6/Vi48aN0Ol06OrqQm9vL1pbWzE0NISkpCRYLBYUFRUhNTWV6wqce+65kKRhw2xFRQWqq6uh1w8XMSEwv/vuu1FcXMzALnLM6h/6nKR+ke4RbUDib5pvJGFTFs6MjAx4vV489dRTyMzMhMPh4HdcVlaGvr4+tLa24uDBg2hoaEAwGMQpp5zCz27z5s0jniVJ1YFAAIFAAFVVVfD7/fD7/TAYDJg0aZIitiSekKLV6N2oHRa0YmrUoDiW5A5op/kea0xagD8W+Ivfq21Z4vfqdatF78Rb29+23Xfffcc28J900kkT0peYCEp8+KK0CwBZWVk8gcSXKjZRIp09e7aiQHtPT88I2ghQ0j0iqNH3osrd1tbGQStaTZK+qnSllsDV4xSlaNFVTbwvEZTV/8dTcem3eE+jPTPxeK0xxjtOyzUU+KrGKz2z7u5u7N27F5mZmcjMzMRNN92ESCSCQ4cO4YMPPuD7CIfD6O3tRTgcRldXF2eT1Ov1mDlzJoqLizl9wJEjR3D++ecjLy+PA66sVivC4TDKyspw6623KugKUYIXjYtq0KdU03a7HXfddRcfR2PU0oCMRiOee+45HDhwAC6XC263G2lpacjJycGaNWvQ1dWF9PR0uFwujs4lDaSjowOtra3sEgoonQ3E9tZbbwEAzjnnHP4sEAjgww8/xMGDB7lQvJgVdTRQVgswIv2iDtSiY+h3PCk+Hnapz1V/PpaEP17wF4UUNeDHO0+koeJpNRPZ4tXcPWaAf968eRPWHz3wJUuWIBaLcRh/e3s7mpub+Rji/7XyaYuLUU3TaEm74osdTSIWJ+toErd6UaknoXiM+nv1fWj9re5Lq2lN9rEmfzxVWg1y6ibaC8TnLUkStm7dijfffBOrV68GMBw4pZYiCdw6OjoYpFpaWthN02KxICMjA6mpqSgvL4fRaMScOXNQVlaGo0ePcgAVUTqPPfYY3G438/Uk5atpE7V0L9YWMBgMuOGGGzh3vijp63Q6LrBCn2VmZiIvLw9GoxGRSAT3338/V/qi71asWIH8/HykpqbC4XDA7/djaGiI4w3IFXRwcBCHDx9mWpHGSxuXqKECw95R+/btQyw2nB//yJEj2LRpE3w+H2bMmMFay2heM9REsNOSfMW1snPnTsjysPvmjBkzOC34WEA5mgStnvNfZyMQz4mnvcZb+5IkKWwUanvGaPfzTdsxD/yXX375hPWnJTmopV067svra41J8TOaRCz2pT4mXhtPH+rxjbZRaBmgR7uuegxjjZ+eX7yxxzuP7kPtZio2qkVLjYL5aGMWJX5xU6AMjb29vYjFYlzEhXLEEB8OANOmTUNiYiIKCgqQk5ODbdu24Wc/+xnS09PR2trKtpHnnnsOer0egUCADbRqCkcEfDFNQCgUwqxZs/CDH/xAQe1Eo1G0tbXhwIEDrH2qpUh6TrIsK3Lu33bbbUhNTUV6ejqys7NRWFiIFStWIDc3F8nJybBarejv78fQ0BCKiooY1GOx4QpYPp8vbk6bcDjMufsp/83zzz+PH//4xxgcHERbWxu2bduG/fv3s8883bfaG04UkGKxGCZNmqQA+oaGBsVGkJqayseN5tE2FqWk1cYCai0hRus78T1p2ai0Gj1nddLBeDaLb9uOeeD/6U9/OqF9qqUNYCSdoBrD1/pcpH2+iybLMtLS0sYch7rFo2BE4BTbePoVNYx4oK/VDxlf1ceM9qy1NiBJkrhGrPg+Y7EYmpub2cMmFoshKysLvb29sNlskGUZ06dPBzBcAHvy5MnIzc1FUlISS6/RaBRmsxkvvPACdLrh3PzBYFDBy4tSPf2IgUkrV65kmkadIqSqqgqx2FdZMkVXV/VzEKkRSZJw6qmnwmaz4bbbbkNaWhqysrKQl5eH3Nxc3HLLLcjOzubUCz6fD+FwGNOnT1dE7hJA19fXKygIcQMYHBzkQjTksut2u9HT04PW1la0tLSgs7MThw4dwueff67ofzQNWE3hRKNRnHDCCewVpWWQjUffxGvx5gs9X9HOph5nPN6ezhVjXNQJ20QsEQU0yruktuto0V0T0eIB/79DIZZxtYksti7WwIxHmcRTU79OG23n/7ZNHPtYUoZ6TF+3jVfiH+3z8f5PhTnE78RavVrnSZLEgES1mQlIIpEI7HY7HA4HS1qFhYVIT09HNBpFcXEx0tPTMXfuXDz00ENYtWoV0tPT4fP5YDKZcNFFF+HCCy9kwCceXy3pU9EYAvzKykrMmDGD+XUCUWA4Gdvhw4cZ7Mm+1NbWhsOHD2sCP73vaDSKnJwcZGdn44MPPkBxcTEeeeQR3HHHHYr8RhUVFdi3bx+72FJpwH379iE1NRWpqakKwJk+fTpkWUZ3dzcikQi6u7s5lQRFTZP7JpWfpI1bdIhwOBzo7+9n6kqLbqRjxd+i1BuvXkW8d69uo61dAmUxQldtA1P/r94UxPw89FzIu4u+/+ijj/jatIFt2rQJQ0NDWLFiBSwWywgtieIlRrNfTFQ7ZoBfXcH+2zYtjvDrguLXoU3EnOXj0R6+7osfC/jFBTjevr/O89AyKot9jLVY4x0LgCNxJUmCOpBPLTXS35FIBGlpaZxfJxKJoKKigsGurKwMkjSczjkzMxOSJOH4449n2iUhIQGvvfYavF4vuru7FdSO+EOcPYH+Y489pnDX9Pv9iMViqK+vR2dnJ4MGpbPYtm2bAvzpc63nQMDf1taGI0eOYN68eTh48CAsFosC/M1mM8477zxs3ryZ/evtdjsikQj0+uEMpA6HAw6HQwE4kUgEycnJiEajSExM5M1z3759ipTRxPPTGFtbW5Gfn8/PIhAIKLSssd57PH5fi24ZD2U62vwW4yDU0eAE+qLUrvZWoz6MRiPOPvtsAGDXWTFXFR2bm5vLzzEjIwNDQ0NYs2YNTjrpJJSVlcHv9/PcIvfmeLFDE9mOGapnovPxA9oTRA2+Ey2xxwNIkljVLZ6dIZ6mEq+JardWf2LGT1rU422jXXs0rlTrXPFzreNFCZHAPjExEdFoFHa7Hf39/Zx9kfLmJCcnIzMzk9MoS5LEqRx+8Ytf4KmnnoLL5UJnZyesVisuu+wynHbaafD5fCzpE0ev5uxDoRBSUlJQWVnJ9XGJ5mhsbERLSwuDOgHMoUOH0N7erkkRjOc9inz8vHnzIMsy8vPzMXPmTKxcuRLZ2dnIz89HSUkJbrzxRuTl5THfT3YPynM/ZcoUhT1CTAYoctH0/cDAAHbt2qVZHvBXv/oVKisr0dzcDI/Ho0h9PNo7F+9Nyy4gSt5j2d1GM/pKkqQIOjObzQptRtyAdTodNmzYwBtFVVUVCgsLUVZWBp1Oh87OTjQ0NGDLli2c6mLatGmcdkSU9m02m0LjpM3R5/PhxhtvhM/n45KYFKk8Ue32228/tjn+66+/fkL71OKXx7PTihNOC8TJ4Cg29URuaWnhc6nWqVYTx6deaLIsM1iPF/QBcIIy8bzxqtXixhEvNbR6nFRQW72Ax4rE1nI3BYYLUdtsNsRiMfh8Ps4lQ5QOvcPS0lLodDpMmzZN0YfFYsH8+fNx9OhR5ObmorS0FHV1dZCk4VTLzz33HPr7+1kSI3pHBHpKLaDT6XDfffex5E95ZD7++GNFiuloNIpDhw6ht7dXwQmL9yluaPHeifo9k1R94oknwmAwYOHChUhLS8OqVauQm5uLoqIi1NTU4MMPP0R2djZcLhf0ej0baol+CoVCOO644ziaVsxZL9JadO/BYJATwGm1F154AR6PR5H+WZTg4wk/amlfBGE19RVPmFBrDWLT6XQcA0EZQ4PBIMxmM377298yLaYOGqTfot1h8eLFsNvtMJlM+PWvf83J8gwGA8rKyhTZVolyzM7O5mdJSeR8Ph/XV6a8UKJL77dtP//5z49t4L/44ou/62sAGJtiGYujVn+mnoRqPl59PVmWYbfbASi1AK3NxG63j0sroQlIf48mWcYzto4lacVr4qIVC2vHO4+M4pIkcXFqrXuhfOo63XChkNzcXBgMBthsNmRlZSExMZEXrdFoRHJyMsrKyvDQQw/hzjvvRE5ODvx+PzweD6xWK66//nqUl5crpC8CfUorQD/Lli1DWVmZIpVubW0turq6FNI95cVRUwnivavdGkcz8hEYir9p01uwYAGi0SjOPPNMNDY2YsOGDSgoKEBxcTFuvvlmDkiz2+0s9UejUQZ0oqpKS0sRCAQ4WEvc/OhzkcIpKSnBvffeC5/Phzlz5qClpQUtLS3weDzsPSS6qWrx5tREwUukZMijSssVWT2f1HNdnLderxfr16/HJ598ouiH6LGioiJkZWWhoKBAc/MQqUSSyhcvXgyHwwGj0YgHHniA7SJ6/XBJRqJ6SNrPyspSGP6DwSBH3l911VXo7+9nYWYi2o9//ONjG/ivvPLK76x/qhAkpjOI18YKTFI3tQdCKBRSTFaLxTKmpjEekI7X1NTIWMB/3HHHjbh2PH6e+j58+DDfF31O1yHukha8ViSu2K/WPam9OmKx4SIllKLAZDJh8uTJ/BwJfJOSklBeXo7m5mYUFhZCkoYLZefk5KCurg6yPOw2uHr1avT397OkT0BHQB8IBJCcnIybbrqJjXHRaBT9/f3YuXMn3xcV89izZ4+C2lFLuWqgJ4nQarVi/vz5I2IPxGdFhkMqhUj9xmIxLFiwALI8HJ+yevVq6PV6FBQUoLS0FDfffDNyc3PhdDphMpng8XiYvqF79Pv98Pl8rEmlp6dzYXYAKC8vx/Lly3HzzTczmPl8PvT19cHj8XANYHWVLxH46bmowV9N8+j1ekUOIKq8Rk0tjQPDMRqk9e3du1exgcZiw7UAxJTSd955J5qamuBwOGCz2ZinlyQJc+bMQXZ2tsLorPVD7eSTT0ZSUhLMZjPuuOMORYpySZK48Ew4HEZycjJisa/SR4vS/7Jly7jIz0S0884779gG/hdffPG76lsTzEY7VvyhOq/iMWLTCjYRgSCeBX8sKX48Te0xQUVIxOvHU5nFcer1evaEIulEXKhqYBPvWaf7qmC1TqfjPPLq56ges9gcDgd/R30XFRUhGo1yhkzqn7jbk046CQkJCVi0aBE+/vhj2O12TJ8+HTt37mSp7Ec/+hFOOukkeL1elnBFyZ4Ks/zsZz9DXl4eS7q7d++G1+vlZ6PX61FTU6OoyKQGJQIJeheiz/ysWbPgcrkUwT1qIBSBn8Dz6NGjqK+v5+hlAn+LxYLFixdj1apVyM/PR3FxMe677z6kpqYiOTmZU0S3t7djYGAA/f398Hg87NNP7Z///CcAYNGiRQC+qnxGWoAotdLGQSkeqKaCaKzU6b7KUSUW5BEldaJKqSQk1Rcgmw2966effpo3a6IdaW7Y7XYcf/zxijrVtJnqdMN1grOysmC1WuFwONDQ0IA77rgDdrtdUT1LkiSkpqZiwYIFinej9run3263GwsXLoRer8eRI0fw3HPPKTLUlpWVKfIhpaSkKKR/2gAyMzNxxRVXjHOVj95OPPHEYxv4X3rppe+y/3Ed93WMcNRoIcULFlPzml93TGM10RhIYyDAEu9Dy21NBDb1mEhaVWsQRD3QvaolM3HDiwf+ozUtNZ4AJTMzEzNnzsTbb7+NpUuXwmq1wul0YvLkydi/f7/CVfDVV19FT08PfD4fG4QJ0AjEli5dirlz53Jah+rqagX4er1e1NbWxuWiRalQlOzdbjdmzZqlSMwmpg2mpHOi7ScYDCrmDOXtMRqN2LhxI0uXsixj4cKFSEhIwNlnn4177rkHhYWFmDJlCm688Uakp6dz3Vy/34+jR48ypXjWWWcBGK7TCgwncaPnItYPIE1BDFYTk9CJf4uFd8gziMBVzI1Fz4gK15hMJohaPknjF110Efcny8NBeuFwGJmZmey5JBqoZXm4PKbL5RqRDsNoNCIzMxOJiYmw2+146aWXsH79esVGIxZkufDCC0cUUlFvAORscMopp0Cn0+Gll15CU1MTaywFBQWwWq1sX0lMTIROp+NnS1lT6f7ERu9exI2xvnvllVeObeCfaIlfzVmPh7oRF70IdKNRNeIEET0cxBwzWtcdLyCO9v5EPlIs0E6gofaaUEciiuCiNq6R2koSmgh26iyT6uvQQhHPEzlr9bNXPyfaPEjynTt3LttFJEmC3W5HYmIibDYbpk+fjh07drA9wOv14qWXXmJ6giR99c/vfvc7NmxWVVUpJO1du3ZxPnu1ZE/PXZQQSfKdP38+u5aKkmg0GuV6BfE0QPX8INqQMnW+++67MJvN7BI6a9YszJ8/H1u2bMGBAwcwadIkrFu3jjUEks5lWUZNTQ0bwaPRKFM+YlUsteQsgp8ItmIRFPqhuUD1j3/961/DYrGgtLQUHo8HOt1wLYXKykoWUPLy8rh8osvl4kIvwDAdOWXKFIV21NPTw+6qpJ2pf4xGI2bNmjVCIzUYDLBYLMjJyYHVakVHRweuuuoqrjdARltg2K38tNNOG/H+1JsAaR6LFi2CwWDA7bffzsXczWYzSkpKFBpRSkoKb64T6dXz+OOPH9vAfyyM8/+Lbc2aNXG/+9GPfvS1+/v8889HGC4lSUJ7e7tCs9DakGVZRkZGBgwGA0pLSxVj/PGPfwyr1Qq32w273c7lEA8cOMAgXF5ejssuu4zLKZKkT5SB1+vF0qVLMW/ePEQiEWzevJnBvqenB42NjSMia8UNT83ZDw0NIT09HdOmTVNkoozFYhwAJAI9/SbPKKopID6r9PR0yPJwsW9JktgQaDab8d5773GG09LSUiQnJ2PJkiVYuXIlcnNzkZOTg9tvv537ovQL0WgUwWAQXq+XKZzBwcERACk2+o7y99B9b9y4EUNDQ5g7dy7y8vI4ypnsMn/5y19QU1MDh8MBi8WC4uJi5uWHhoZQXFzMBcJzcnKQk5ODc889F8nJybDb7Qpaq7KyEjk5OQop3Ov1IhAIsBeNwWDQdE2dPHkyP0tRC9fr9UhNTeW03I899hg+/PBDtgHQ9SsrK5Gbmzsiu6iYNpp+l5eXIz8/HwcOHMArr7zCAgNRPzQmh8PB5UAnCu9+/etfH9vA/789hm/aJjLi+Ns0tesdLS6xaaWX/iZtrHuO5wY43kZj7+np4dTIZKBzuVyYPHkydu/ejVAoBKPRCI/Hg8cff5wzcoqcPkm3fX19+M1vfsNASjV8dTodPvvsM4VniZraEl32SLo84YQTYLfbR9SMtVqtmvcUDofR3NysoDHUG4LI+5NnU3Z2NqdKtlgsTPvIsoy5c+dCp9PhrLPOwqpVq9j4+PDDDyMtLY1z7dMGSNI5AQ9RHdu3b8czzzwDnW64xKMYWUu/KRJa9BQaGhrC97//faaKJEmCxWKBXq/HqlWrGPytVismTZrE2lEsFsOcOXNgNBpRUlICo9GI5cuXs+uzyMEbDAYsXbpUEXtANEpXVxdTj0VFRYrv6Uen02HevHmKlNC0CZhMJhR+Wc6SvHfI2EwagNFo5OurKSBxEzCbzViyZAnC4TAeeOABRZTvcccdp5gnYmbgb9vuvvvu/wP+Y6nFo3okSeLiJYAyv5DWu4w3gdQcfiwWG+F2KB6jRTnJssxpo9PT05GcnIxIJIL29nYFSOl0um8cFKamfAg8yAVPDMQpKysDAOzcuRPhcBh6vR69vb148cUX0dPTg76+Pk1J/6STTsLpp5+OUCiE5uZmHDlyBAkJCWhqaoLP5xtRZES8N1FiC4fDyM3NxaRJkxT8Nqn3oh2Honp7e3s1aSK14VDrbwKXkpIS+P1+GI1GdHV1oba2lrWBefPmYdq0adizZw/C4TBWr16NwcFBfg6hUAhVVVXMf3/wwQfQ64drIXs8HnR2dirAluZHeno6UlJSFM/BbrfDarVykBL5+19xxRUIBAJcX5m8an7+85/D5XLxZnDccccx+A8NDeHUU0+FwWBAZmYmcnJycMYZZ8DhcMButyuKu9NzmDp1KieiE8GdNh6/34+kpCS4XC4F/UnH5efnswZBa4k0s/T0dGRkZOD0009nCoioNVmWUVFRgZycHM3Ea+J7mzp1KkpLS/Huu+9i69atvLZo/Ygb0ES03//+98c28Mfj4tWUwbf5biIf+P+1+G3KlCkAvuL1RZ6caB/RDVRtcCZDX25uLhITE9lQ2NnZicOHD7N02dPTg+effx7d3d3wer0ciUuA7/P5cMopp2DhwoUYHBzE/v370d3dDYvFgk8//ZTBRTTwAV9lWIzFvqpUtXjxYkUufvI4IhuImA6gsbFR4dMPKO0xom2AQE00FKs9TIaGhlBSUoJgMAiDwYCNGzdCkiSEw2FkZGQgJycHt912G4OUaJD91a9+pdhkaZOjCNeEhASYzWbs3LmTwV/0yLFYLCgoKADwlT0rLS2NDZXkp/7DH/6Qg5NImrbb7fjFL37BkrTBYOBAMto0CfzNZjMmTZoEh8PBG4AIvkT/RKNRnHfeeYoNRE3HdHZ2IhKJoKSkRGGDETW2hQsXjrDJmUwmFBUV8RhELyASCC644AJNm4ja/fPcc8+FwWDAbbfdpnDLJeFlonD50UcfPbaBn/LkT3C/vCjJ40CUbuMZVrWkUL1ej9/+9rcTNrabb755wvo6Fpsa8MXnTKq2CEDk0SJJw7EDRUVFuPrqq9Hd3c1BWQT6Pp8PHo8H9957L3Q6HYaGhlj6Onr0KHp6ehRuferITaIzwuEwiouLOShH5NtFI3Vvby98Pp+m9w/1K2oPWikURA1ADSyLFi3iXFZTp05lLZDGKG4+1AeBHfCVt9quXbtgMBiwZcsWTkCWkJDAP5TqoKurCwaDAc3NzfwOHA4H8vPzeXyyPBxZTuDv9/tRXFyMyspKTlZHBds/+ugjbNiwga9BSeToeefm5mLKlCnQ6XRwuVzIysrChg0b8OKLLyrSa4sOArFYDEVFRWxfEakY+k2+806nE8nJyQq6iFJ3U/4mcQNISkpCRkYGj4E0EBIQJk2ahOnTpyvek5b0X1RUhOnTp6OhoQEvvviiQqvUomK/SXv11VePbeB/7733JrpPxd+k0okRgmN5+tDf5BqmPl+kBOh/9bkiQIjcIk0krfB2NTUwWhPHoHUtGj9tfmp6aTSvoszMzFGvLbb29vZxHzueJibQosVusVjg9/thsVhw9913M+iLAVlerxdz587FokWL2Gvl448/htlsxoEDB+Dz+Zg6Er2ZSBqnhGannHKKIrVBOByG2Wxmjj4ajeLgwYM8TjEfjNq1VZTwxdQQdL0VK1YowEPkkkWDMaDcMGkjET2o1JqF1vMU6/qazWY8++yziEajLP0TQBPdtmfPHsiyzPNn6tSpDKJJSUmc159cQymfPxm5ExISYLPZcMstt/D/er0epaWlTOXEYjEsWrSItRKKtL300ks5XQJpgmKyNHpeS5YsYUOvmuLp6elBOBxGYWEhHy+m2a6srFQYXSVpOCVzQUEBnE4nli1bhnA4DLvdzvSTJEk4++yzOWWHFv1Dm8DixYuZ7rrrrrsmlHl4//33j23gf+WVV77L/hn41K55Wseq/6eNQ+v8sdw9xUbn0iakpgO0xqJ+fyK40yQVpQy6jvhbfQ+kPqsNmeJGR5I3GanU9yyeI26qYlu7dm3ce7vsssvGfmAa7fzzz0d+fj776FOkLUWoPvroo/D5fAysVVVVMJlM+Oyzz/jeSbKle6NnR6UWyTBKlFIsFmO/9tbWVg7konsngCSwpGfrdDrR3d2NWCyGuro6uN1uTqR28skno6CggI2koqFQbTgUaQS1pxGBu9acVAsi4oYkphqm50F2j40bNyo0AYvFgoSEBGzfvp3nLUWqEq9vtVo5SMnv9+PKK69kjQYAG6e/+OIL/PGPf4TVaoXZbEZSUpIigjYtLQ3Tpk1j8HW5XMjIyMDmzZvx3nvvYd++fbBarbwRiIJBNBpFZmYmKioqFNI9ATNtTqI7qJh2e8GCBQrty2AwwOFwIDc3F8Cwn7/D4YDVauX3LMsy+/+P5gJqNptx+umnAwB27979jea+VluxYsW/H/BLkmQG8CEAE4ZTRK+TZflejeNkKqv3HY0DABRAOxr4a50/lhH064xDpAS+zjjiNRH0xWvFA3RRbRa/F88jcNDKoaI+lsCPJEKRWhOlM7pfohm0NA/1JqN1r7FYjEFG5MlJ8iTjnyRJ+NOf/oQvvviC6SPapMxmM5qbm1lqjMViWLJkCfdnsVgYEEKhELxeL+rr65GWlsb3rNfrccMNN8BiscBiseD555/n60SjUXR0dGBgYAAHDx4jwdonAAAgAElEQVTElClT2PZw3XXXsaYi5gNSG3YBjNjUxWclfidK/OKcUG/Soj1CjF2g9ydujK+99hr8fj8bOwlwd+zYAYPBgOLiYphMJgbQ1NRURaK3GTNmoLS0lKV/SZJgNpvhcDiwYsUKBfdPfdH9z5o1iyO66Xnn5eXBarXi2muvRUdHB9NAIoVLoEtFbEQ/f9IAuru7kZKSgoSEhBE1F8LhMObPn6/QpGgDKCgogMPh4ARu5IRA62PRokWcpZM0AK1NYOHChVxl7tu2hQsX/vsBPwBIkmSVZTkoSZIewDYAK2RZ/kx1jPzwww9/V9fn3+LPNzlfa9P4us9XXHxfdyzxWrwxxAP00SKU1Xx7vM1JPFcdKSyq62rqg75TB42Jx2ip9MCwpwwZEwk0Y7GY4hg1LSKCGn1GErrBYGBJUZSQGxsbsXv3bgwNDaGurg4ulwvz5s2D0+lENBrljY2kZIfDgTVr1sBms8FkMrG9IRwOM8dMcQTXXXcdB1eJVcC0AHs82uRo9KLWvBDfm0j/0N9i4jTKpdPd3Y233noLdrudf3bs2MEG3MLCQqZP1OAvyzIuueQSBINBlv6pfsCKFSvgcrlgtVphMpngdDqRn5/P70SWZbhcLsyYMYOfg81mQ3Z2tsIFkzYQkYYh0E1OTsacOXMUZTOJcuvu7sakSZMUxnD6TeBP4yA6j8ZYV1eHO++8kzcAmudpaWkcJ0I/Im2n1sS+bXv44Yf/PYGfmiRJVgxL/z+TZXm76jv5/vvv/66uO+Lvrwu232TDGGs8ohQ9nn7HAnctiV/rWPWmowX8ND4t0NeSzMVNkf4nLwktiV+tPan7EjM2imH/kUiEqYSBgQFEo1E+nha+uGmJwFZbWwuPx4OSkhLU1tbC5/Phs88+Q2trK+677z7ONqnX67FlyxbIsow9e/bg9NNPh8lk4mydABj0CbD+8pe/sAEwFoux7aGnpwfZ2dnwer0oKirCnDlzeOwERCIXTO9xNNtRvHmhntvjAX81/aPWBIgGIo7+H//4B7q7u+FyuWCz2XDw4EGOLjaZTAyiTqcTsiwr0mOQyydlZDWZTLDZbHj55ZfR2NioMOI6nU5FgZNIJIKysjLOd0RaW35+PtxuNy644ALodDrWSMQNQNzYzzzzTPZ6IrDv6elBMBjEpEmTFFXXSEuZPXs2CxOidpuTk4Pk5GSsWrUKtbW1ijQQkiRh3rx5bFDW8gKaqPbQQw/9ewK/JEk6ADsBTALwB1mW79A4Rr7nnnv+FWP5VsdOBPBTU9MnY9Eb8ZqW9hGvL60Fr3W8+hi1VKk+nz4XJW2R9xZz1MfbQIlyAb5yrRN/kxpPnhokTZLniMvlwssvvwyTyYTu7m4uhEJtz549uOuuu7i/t99+G2+99RbeeusttLW1IRqNwmg0oqqqCpIkYf/+/Vyv9+STT+YUxKKx0uFw4OWXX4bT6YTVauWi783NzUhLS0MsNlzJ6tprr+UxU44bNQUgNrVUOBbwa22gWvSf1jtWa25aVJDRaERCQgInPXviiSc4zYJOp+MSkETlkPePw+Hgjbq/vx+XX345a0LAsNcP0TH33HMP+/zTO0pISEBBQQGDv9lsRmVlpWKe2Gw2FBQUoKOjA9dccw2cTifTP2IgGABOnUGGe7GkZldXF4O/egOYP38+A7hI/5hMJhQXF8NqtWLJkiVwuVysAej1ejidTixatIipR7Ee80S1f/ti65IkOQG8AeAGWZZrVd/JCxcu5P/z8/NR8KXv8ARef8LOn0jJfyKaWsobq2+1BK7uR60VqA3HIrVCv0XJlegaMgwS1UIbAPVF54geGhRoRh4nVLtWkiTcfvvtaG5uxumnn47LLruMPX0SExOxevVqdnns7e1lLSEWi2Hnzp24++67AQwv/g0bNmDDhg34xz/+gZ6eHng8HhiNRmzduhUGgwG9vb04evQo5syZgwULFiAQCDDFQzRFW1sbPv30Uzb2dXV1QafT4fPPP0dlZSW7mF511VXwer2cD1805Kr5fGpavL5WU3txqYGffo8l9WtRguK7Fg3YCQkJcDqd2LJlC44ePQqn0wmHw4GWlhZ4vV6mz6ZMmcLVy4ie83q9uPzyy9Hf38+Jysjoa7PZ8Oc//xk1NTWKAC6dTofc3Fyuz0DpGGhjFYWM4uJiPP/88/j73//OlJRYgYvmciQSwYwZM5CZmanw2urt7YXD4UBCQoIiWd3g4CB0Oh0n3iODOlFjmZmZSE1Nxd69e3HfffdxUjiqPXHGGWfAaDQqPI6+aTt48CAOHTrE/2/evPnfG/gBQJKkVQACsiw/pvpcXrly5b/i+v+y87/JtbSkayC+2h5vsauvr+XdoQZw8RytTUEdqCQatQjAxEhWkg5FI5jZbFZsFKRC63Q6PPnkk/jHP/6BP/zhD1z6jwyHZrMZr776KoLBIC666CLMmzcPDoeDjW5r1qyBxWKB0+lER0cH8/kE+rfddhtnrHzzzTexceNGvPHGG/B4PJwW4pNPPmGQ3LlzJ04//XQsWLAA/f39I7jpdevWMb8tgv7evXsxbdo0BINB9PX14dprr+X8OGojLj03NTCL1IRWGy91o6aMxOuoj1fPF3Xfojsw0Wo2mw0GgwEvv/wyA53ZbMYXX3zBc4PyKSUnJ3Mktc/nw/LlyznaluabyWSC1WqFwWDAHXfcwQFcoptscXGxwk1z4cKF/G5ICrdYLCgsLEQ4HMb3v/99OJ1ORSAWzQ3q5z/+4z94U6agtK6uLhQUFCh4fzLyz58/nyV4UfNISEhAUVER3G43li5diqSkJE48p9PpcP755ysquU0ULt95553/fsAvSVIKgCFZlr2SJFkAvAvg17Is/0N1nHzXXXd9l+PQ/DzeIvqm/Y33fPW1RUk7HvCLYKFW7eNJ/Frni/y3lnuqKOWJIC0aNcWYBvF7yvRoMpngcrmQkpKCLVu2wOFwIBqN4sknn4Rer8eBAwcAANdddx2i0Sj6+vqwZcsWLF68mNVtko4sFgv+9Kc/YXBwEJdccgk8Hg/OO+88RCLDhU0aGxuxY8cOJCUloaenhymHWCyGPXv2YNmyZcjNzUUkEsHrr7+O/fv347HHHoPX62XA/uyzz3jTqq6uxuLFi7FgwQIFLUFAv3XrVvT19cFut0On03HgFkn6Xq8XqampOPXUU0d47ojvdefOnQCAtLQ0ZGdno6amhnPpTJ8+fVQ333gCQGtrK7q6uhTvPTs7G6mpqZqeQa2trZAkCZ2dndDpdMjOzkZaWtoIQUMUCOj9Ux1ah8OBt956C36/n6X/Xbt2sYcOefW43W6uDUCSPyV4ozlNlJLNZsPbb7+Njz76iDdX4u1TU1PhdrsVnjOiFw6NMTU1FWlpafjoo4/w2GOPweVysRGYXFJJ+Jg0aRIKCws57mNwcBBtbW2cyE1t+C0uLobL5WLnAnpGpHW43W788pe/RHd3NxITEzkz69SpU1FQUDChwH/TTTf9WwJ/GYCXAOi+/PmzLMsPahwn33nnnSOA78vveGKM97uJpFHU11P3/3U3AS3pXa1uqxdcPE8AksZEAKYmAofoHUILQ10wg5poUBX7pRq0JpOJOVSj0QhgWHq69NJLMTg4iIceegjp6elIS0vDNddcg4yMDPT39/OCq6urQzAYxK233soG2jfeeAOZmZk455xzEIvF0NPTg6GhISQkJGDdunWcDKy7uxsXXXQRBgYG2Md79erVSElJgcfjYW41Fothx44duP7665GYmIihoSG88cYbGBoawg033IBgMIijR49CkiRs2bKF6Yk9e/bgjDPOGAH6RqMRdrsdr7zyCpxOJ/PInZ2dkCQJ1dXVqKioQH9/P/r6+nD11Vcz6ItlDCVJQnNzMyexq6ioYK1ElmWkpaUhMzMzrnSu1hTUWoHI0QPArl27FOdUVFRoriGdbjiqV5yDdKzWhiHGg1BensHBQaxfv54Bdvfu3Sz5T5kyhYO9iPahHD9k9yAwpPgR0hgp349o/KU+xRQMWVlZyM/PVwRhUQ2HtLQ0nHXWWZzHh2gYUfoPhUJYunQpjycUCqGtrQ1ZWVnQ6XQKzj8UCmHOnDkj0lKTJlxSUoKkpCScd955yMjI4PgNSZIwe/ZszoE0Ee3aa6/99wP+8TZJkuQ77hhh8/1WTUti0to8vk5TA/9o6nG87+MtJvXiFs8XeWBR4hdVcDqOvhdpHDGKkxYW+Z6LJe9oUYsBTrIs44knnsD555+PpqYmWK1WfPLJJzAYDDhy5AgvmlAohJUrV3IGzR07dmDTpk1ISEhgNbyhoQHhcBhXXnkljEYjBgcH8frrr2NwcBCrVq1CZ2cnJ4DT6/XYu3cv9u7dixkzZiA9PR0XX3wxFxVxOBx4/PHHOVNoJBLhjejw4cMoLy/HiSeeiHA4zKCfmpqKc845B0eOHIEkSTh48CBaWloAgEF/4cKFmgZIkdIgANDr9dizZw8qKirg8/kwc+ZMTJ48mQPLRNAXwTUnJwfp6elobm5GW1sbAGDmzJmagK82iIupHbRoHK15J0kSOjo60NLSAlmW4XA4UFJSMmL+AUBnZydaWlp4Lubm5iIlJUUhfND8EvP9UDWtJ598EomJiXA6nQiFQmhqauIo3aGhIeb8KXNqcXExZsyYoXheIm1jt9vx8ccf45133uENgCjDpKQk9pwhL6nMzEw2LovzvaSkBLt27cJjjz0Gt9utcAGVJEkB/lSwZ3BwEJ2dnbBarUhMTFRI/aFQCKmpqVxgXe32WVJSgpSUFHz/+99HcnIykpKSYLFYAIDveSLa5Zdf/n/AL7axuMuxPB5G+y6eYUx9fjzg14q0VXOzYt9iKl3xO9GfHIAiN4vozUCSEQCFFwx5qIgbSXV1Nd577z1YLBY0NzezH/vKlSthMBjwySefwG63c7oCWgSxWAx33XUX9Ho9MjMzccMNNyA3NxfhcJgnPGWV/OlPf4pQKIR169YhFArhmWeeYddKCrsHgPXr1yMWi+Gcc87BRRddBJ/Ph1hsOPXx//zP/yA5ORkOh4OrOknScB6f+vp63H777QiHw3j99dcRCASwdetWrF27lg1j0WiUef3q6uq4kr7NZmNJn3jsnp4eSJKEL774AjNmzIDX68XChQuRmZmJ/v5+BjF6v9FoFDU1NZCk4Tzvsixjx44diMViSE5ORk5Ozoi5QJpLbW3tiLkRi8VQVlbGlJZoWFfTglpzs7q6mgPc8vLykJSUNCLqWqfTcaqGWCyG448/ng3zatqQAvJo01+zZg37vFutVnz++edM+8RiMSQlJTGfTh4/ovRPc53mts1mQ2JiIm6//XamlyjliSwP58SRZWVyujlz5igYAZPJhJycHGRkZGD58uXQ6XQs/RONFIlEMDg4iDPPPJMDBAcHB9He3o68vDxEo18VoSFvICouowZ/s9mMKVOmIC0tDRdddBGysrI47fRoNN7XbX/961//D/ipiaA/XrpFNZ64n6mlaa2XOJqfvDqaj/oT0wcQn04h4aL7n3gNMioRh0icI3lh0NjeffddzJ07F8CwgZKqVz3//PPwer0MHBdeeCHq6+vh9/thMpnw5z//GUajES+++CL6+vqwf/9+DAwMsFQei8UQCoXg8XjwX//1X5AkCQ6HA6+++iof43A4YDQaUVtbi2AwiFtuuQWBQAD//Oc/0drait/97nf4/PPP0dvbywY0ihoNhUK45JJL4PV6cfHFF7Oh98knn+QqXL29vRy5GYlE8Nlnn+HBBx9kST8SiWDLli1Ys2YNDh48yNrEli1bWOrPysrCZZddhv7+foTDYciyzPTOyy+/zABBgT+SJLGk7/F4MH/+fGRnZ3MaZAJ9SZJw5MgRTs08a9YsBn2SpqmeLPAVzWYwGFBdXa2IsFZTPeI8SkxMZGASNwGtzUCcy319fTh8+DD/n5SUhALBm06n06GtrY3fpdFoxLRp0/gadJ4Y/Wuz2WC329Hc3IytW7eylN7f34+DBw8iJSUFqamp7ABAvv5E/ag3TpLYaVO55ZZbkJKSopDYZXm4GlZaWhp74lDRc8rQSVqE0+lEcXExPv30UzzxxBNc2Ie0CJL8lyxZgkAgwLx/e3s7CgoKFJ4+tHnNnj2bNwm1Zj116lRkZmbi4osvRkZGBlwuF6/1iWjxgF//r/CP/7bt3nvvvWfBggUT0pca9AlY40np4v+jHa8OcBHT2xIfrg5/J0mI/hcDS8TxkuuimASODGgE/mpJi/q32Wzo6enBf//3f+P444/n1LifffYZDh8+jG3btqG7uxvl5eUwGIYLXCcnJ+PZZ5/lgBir1Yr09HQYDAYEg0HYbDa8+eabiEaHKy51dXVxnhqTycSFQUjSue222xSZF//4xz9CkiT2amhqasLg4CBuv/12hEIh9Pb2orq6GkVFRbDZbIhEIvD5fBgcHITRaMRrr72GcDiMZcuWIRgMMuibTCa0t7fj8OHDSExMRE9PD0t+gUAAe/bswYMPPoihoSG8+eabiMVieOedd/DHP/4RBw8eBABO2iZJEtra2hAKhfCjH/2IFzTwlSH3lVdeQWJiInsQ+f1+SJKEzz//HOXl5fB6vbjmmmtgMpkYsERXvz179iAUCsFms2HGjBkIBoOorq6GLMuYOXMmlxqUpK+C1mpqatDX18fPk+aPOIfEuUdugp2dnejq6kJnZydSUlIUeWzUc5qaxWJBZmYmbDYb+vr6EAqF0NHRAbfbza6ITqcTWVlZ8Hg8CIfD6OjoYICnJm4yZCRPSkrC3LlzsXXrVsiyDJvNhvz8fDQ0NKC3txcpKSkIBAJwu928rnbs2IGZM2cy9UI/YgDUueeei127dvEcpHVHydgopYZOp0MgEMDBgweRmZkJvV7PaT16e3sxffp02O12fPrpp4rnSTaE2tpaTJ06le+NNGC32z1Coz9w4AAKvow3UG+6Pp8PNpsN5eXl2LRpEzsfaOX2+SY/+/fvxz333HOvGgePGYl/Ir161GCt3l3pxYi8ufo8Lb6dAFcN+OKxat9nNXATwJBBi4CfXNlocur1evz1r39FJBJBRkYGUlJSkJycrPCAIO7x/vvvRywWw7XXXotoNAqTyYQvvvgCOp0Ohw4d4shGo9EIt9uNv/3tbzAajfD5fLzAf/jDH2LDhg0wmUz429/+hnA4jI0bN6KhoQGxWAzbtm2DzWbDoUOHoNPpGPR7enrw8MMPIxKJwOl04tprr0VhYSGi0Sh789TX1+Oaa66BJEkYGBjAunXr4Pf78ctf/hK9vb1obW3F0NAQJEnChx9+iObmZixbtgy9vb245JJLMDAwAL1ej+bmZmzatAnJycno7e1lYx8AbN++HQ8++CAGBwexadMmeL1erF27Fv/85z/R3NzMvtiipC9JEq666iokJCQgFAqxVEv0DqUD8Pv97Ha6e/duVFRUwOv1YvHixUhMTFREEpOqv2vXLvZBT0tLQ0NDA3w+H6LR4RKRYswD0SVffPGFAuz1ej08Ho9i/tI8crvdCpqHfkRtkvjmoqIizZwx6nnf39+PxsZGpn2cTqfCFjA0NITq6moeB92HaLwWff5tNhucTieeeOIJ3kBtNht27twJvV6PadOmcUlCCs7zer1Yvnw5u8ES70/3Yrfb4Xa78fTTT8Pr9XLQF0nRsViM692K0r/T6cTUqVO5L6Jimpqa8OCDDyI1NVVR95fOPfPMM/n9BoNBdHV1sbsoSf2hUAiBQIAlf9IaaZ3m5eUhOzsbhw4dwm9+8xu4XK4Jk/g/+OADTYnfMCG9/wvaRD0IQAm+auOYqCar1We1ZK8enxjGLi5Q9fmiyyOpouQ1Eg6HuQg21Ze12+14+umnmd++6KKLkJOTg46ODo4c7O/vZxc0keYhacTtdvNmVFNTA5PJhFAoBACwWq2IRCKwWCxwuVyIRCJMERkMBlxxxRV46623YLVaUVdXB2C4iDMFT1VVVXGIPt0PAASDQTzyyCOsNfT19SEtLQ2BQIB54/r6eq6NGgqF8MYbb2BwcBCPP/44qqur2aVQlmUOnLrsssvQ19eHSy+9FIFAAJIkwWq14t1330VSUhIXUyHQ37FjB371q18hFArhgw8+gM/nw9q1a/H+++/D4/Ew6FONXa/Xi3A4jLPPPpuzSgLDnL7D4cBLL73EnD7x2jqdDg0NDUzvXHrppYhGo0zvkKTv9/vR1NQEnU4Ht9uNtLQ0dt0k0KfnR/MpFAqhsbGR3Rb7+voU81AUQOhvihImAHe73QCGtRUxL0wkEkFdXR0ikeFC5Tk5ObBYLCPsRkSXVFRUIBKJoKamBv39/ZxJsri4GA6HA5WVlWhpaUFHRwfbAMrLy7kvMT0xSes//elP8fbbb6Ovrw/RaBQVFRVoamrC3r17UVBQgEAgAIfDwXWG165di+XLl/O4yG9eHOs111yDNWvWcN1iuneDwYCmpiZkZWWx3Uev18Pv96OqqgoLFixgOmffvn2YNGkS3nrrLZx//vn8vMV1vWHDBpx11ln8nM1mM1paWrh8omh3aWxsZKGHtBQAaG5u5vrDtDFMJM+v1f5/C/xisinRcEWTUqyBSZ/TeWoXR7FPCl2nvCBkHCXO89lnn2WJx+fz4Z133kF+fj4AcHm4vLw8nHzyyazOk2Sp0+kQCoVQWFiIhoYGJCQkMNeZkZHBaYJJek9ISMBDDz0Ei8XCftGkleh0OnR3d+Occ84B8BV9sXr1aqSmpqK/v5/HvnXrVuY4a2pqMDAwALfbjUAggN27d7OaS77Z0ehw8e7LL7+cpRq324077riDAd9gMKCxsRGDg4O4+OKLEQwG8fbbb2NwcBBPPPEEduzYwf7jAwMDMBiGK0udffbZ8Pl8OO200zgtg8ViweOPPw6Xy8XjJsPerl27sHLlSoTDYQb69evXY/PmzSyhSZLEoE/q8emnn47p06djYGAAsiwrcscQp9/f38/vfvfu3SgvL4fH48EFF1yAaDQKv9+v4HV1Oh2DfmlpKaxWK3bt2sXzi9w3AfD8bGxs5I2TirDTnCXvI2oEMjSfRCAkrYR4cUpQJiYIi0aj7MV03HHHjSgjSACm1+tRXl6OUCiEuro66HTDVcUSEhJw3HHHITs7G9nZ2eyltGfPHsycOZPBPxaLsb2Jrk0VzF5//XXIsozCwkLIsoy9e/fCYrEo0jwAwwVGli1bpuiPjKt0z1dccQVuvfVWPobmOdkmqIqbqJ1v27aN0y+Hw2EcOHAABoMBjz76KH75y19Cp9NxUXQKVmtvb+dI4bS0NLS1tbF2LmpQPp8PCQkJig01Gh1OXd3Q0ACdToc1a9bgrLPOGmFMn+h2zAD/RO2ABHxirVYxXFukW2gSiakDyJWRgGXv3r0smRNF4HK5sGHDBthsNrzzzjs44YQTWKUT85vs2rULBQUFyMjIQCgUgt/vh81mgyRJKC0t5SCkp556ClarlYN3jEYj3njjDUiShJ/85Cfo7u5WqOWiKk3gTQue/KdpY0tNTWUJn9ILhEIhtidceOGFqKqqgsFgwGuvvQaHw4G//OUvaG9vZ99l0ZOIKB4AXEPV4XDgyiuvRHZ2NgddkUvcbbfdhkAggM2bN6Ovrw+zZs3izJe0gej1eqxduxa5ubkwGo1ITk7m2q4JCQmor69nAzZtKsBw7d17770X0WgUhw4dgsfjwYYNG/D2228jEAigubkZkjTsq09eMrt378aZZ56JhQsXIhgMIhaLKegdAn3y7AkGgzhy5AjTOwsWLGBOX5T0PR4Pa0gE+uSf73a7OeukKFVSuuiEhAT09PSwjYX6oaaO46irqxvBM2dkZLAxna7T09PD85s8bAiI6urqMDQ0hJycHDidTkUmSjrHZDJh5syZaG5uRk9PDwYGBrBr1y6kp6cjOzsbFRUVOHToEHp7e7Fnzx5kZ2cjOTmZxyumzKZ5smzZMqoaBYfDgRNOOAHbt2/H/v37uSwjJXlbu3YtLr30UkV/asn/kUcewfr161FfX8+2BLJvRKNRHDhwAMXFxYoYh6qqKhQXFyMlJQWDg4Oor6/H5MmTUVFRgc8//5yPJa193759Cg4/PT0dTU1N7E1E+GE2m7Ft2zbMnj17hNYjyzLq6+sRi8Wwfv16PPDAAxOCd++//742Dh4rHP999903IX2JnDnl6yBpllTRcDjMqX3b2tqwc+dOpKWloby8HBaLhYtRxGLDVYGAr9wgExMT8f/aO/eoqK9z73+fuXAZwEFAEcWEYr2kKiCiEtFl+oc25n1rTpP6rphqgicrdDUJSU7apLU9WWlX0xWblZyky2MbzUlOY4w91re1Eq0msZHEayUKhCh3EQKCDGCGywzDzLDPH7AfZwwmaQFnYJ7PWrOEkRkefrN/3733c9uFhYXcrtZisXAKo++kU1hYCAC8vevu7saVK1cwbdo05ObmcqDQ6XTi7bff5rz2hx56CESEZ599llfLLpeLVxg6BTM2NhYvvPACwsPD8fjjj7OPWQ/choYGrF27lsVywoQJ2LZtG6ZOncoFVbfffjsfx/fHP/4RDocD77zzDmpra6GUwrFjx2CxWFBXV8cZD319fbhy5Qqee+45dh89+eSTiIqKgtfrxYQJExAWFoZz587hiSeeYB/o7t27MXPmTNx2221wOp1oampiV1RlZSVOnTqFdevW4cqVK7jnnns40Gu1WrFlyxauzNU3dXFxMX7605/yDf6Xv/wFf/7zn7Fz507eoQDAsWPHAIB3BytXrsSKFSvgcDj4eupArq/o67iC70p/xYoVmDx5sp9PX485vfpNS0uD2WzGmTNn0N/fz+fIDo5zToG9ePEin+jV09MDo9GIixcv8nv6riTz8vJY6PQEvH37dhaoa1ti67iSFiYAfhlhuquoTvNVSvGpWlqori0O0wHJsrIynmwWLlzIX+tJzmg0Yt68eX6FVL471JiYGISHh/sFzi0WC9AvSKYAABjiSURBVD766CPO9+/r6+M03a6uLnz3u9/lfkd6QiYiXvxMnDgRZrMZv/zlLzlLx3fBp/3+2t+vq3NvvvlmTJkyBUSEiIgIzJ07F2vWrEFSUhISEhLY9eb1euF0OrFq1Sp0d3dz2mlraytSUlL88vudTif7+31bhwNgndDjYSRYu3bt2Pbx+/rqhkNKSgrn/cbFxeG+++7j1eKyZcvQ09ODvXv3Ij8/H4mJiSgpKUFCQgKysrL8yvJjYmKwbNkyFofw8HBMmDABra2tiImJgdVqRUlJCbKzs+F2uxEdHQ0i4n7sERERmD17Ng80t9uNOXPmYOnSpeyyiYyMxFtvvYWoqCgoNXBEm8FggJ4EN27ciLa2NkRFRcHpdPJNratn9apQ5++XlJSwPzM+Pp4FICIiAh6PB1arFTabjW++vr4+mEwmlJaWsquksrKSRTIiIgIXLlzgwe92u9HV1YUf/vCH6OvrY2H2DeiZTCacP3+efcUulwt79uyB0+nEnXfeiebmZjQ3N/sF0k+fPs1+/XvvvZdFNyoqCi+99BL79bXPtrS0FBs3buQg8759+3Du3DmsWbMGFosFDQ0NAIBTp04BAMdXfFf6+nP1Lc7SQUbdkresrIxFf/bs2UhMTOSVvnbt2Ww2LnhatGgRV+L29/djypQpiI6OZkE0m824cOEC1zbowG1nZydsNhu8Xi8yMjLYD31thoj+WwDg+9//vl8cwGAw4OjRoyAiFBcXw2Aw8M6AiDB58mRMnDgRSikORurDVXQcoK+vD6mpqQgPD/frI69tICKkp6ejqakJNpuNF0zTp09HZmYmGhsb0draioqKCsyZM4fFf6hYQl5eHrZt28b37eLFi/HRRx+hqqoKc+bMQVdXF2JjY6GUwr59+7BmzRr++7Xbx/c9rVYrNm3ahGeffZaF1rfVQ21tLW6++WYeQ0QDqbZKKSQlJcHlcqG8vBz79+/HQw89hM8++8wvUy8iIgJ1dXXc/kPvFHXWzrUB9qqqKqSmprJbWcdbmpqaMH369BF1bQ/FmBH+1NTUEXkfLdCTJk3Cgw8+iGnTpvGWNTIyEu+99x5MJhNuueUWXLp0CUajEUuXLoXBYEBUVBS2bt2KsLAwfPOb3+SsG+0KsFqtKCoqQnx8PA4ePIiVK1fC6/Wyf1Kv9o8dO4b58+fz4Ozr68Ps2bPR0tKCqVOnwuFwwGw243e/+x379t1uN77xjW8AAK8KnU4nJkyYwK4V4GpDqGeeeQaRkZF4/PHHOVikhd5ms2HDhg3weDwcPH7llVeQmJjIPtz169fj4MGDMBqNnJ+v/c2+qW8660fnsG/cuJG7YEZHRyM3NxfJycl8LmpHRweioqKwfPlyOBwO7NmzBw6HA6+99hpOnDjB/lHt4tmxYwc2bNiAjo4O3HPPPXA4HAAGUg1feuklJCQkcK6+wWCAw+Hg05vcbjcKCgo4oyg3N5fP/vWteygtLeWq3J6eHg50WiwWXulrv25HRwdMJhPKyso4kDt16lSkp6d/zqevBdZgMCAzMxPA1ZVvXFwcEhMT+fP0zdqJjIyEzWaD0WjkrCmPx4PHHnsMbreb4w6aa3ft2rWn6z20iCxZsgRExMVLeqHw8ssvo7m5meMdkydPhtVq5eMqvV4vJk2ahLCwMDQ2NsLtdvP5A77n+mpBTUpKwrRp01BcXIzLly+jtbUVWVlZfEShzWZDaWkp0tPT/V6r3Yb673nwwQexfft2dk0tXrwYZ86cYdeL3W7nWo1du3ax20dPSHq3ogV3woQJ2Lx5M5588km+TtqtZjQa0djYiBkzZviJbn19PbvJdMB327Zt+M53vsOpszprqL6+nl20/f39SEhIQHNzM09Q2raIiAjeVV+bReX1enlhMpqMGeHX1afDxWKxID4+Hnl5eZyiNWvWLCQnJ+MPf/gDDAYDdu3aBZvNhsrKSqxevZq3elu2bIHFYsGCBQsAXC3E0oG/48ePc7ZHSkoKbyX1qiAsLAzvvfcekpOTWcz7+voQGxuLzs5O7stuMBgQGRnJW+7+/n6kpqaCiPCLX/wCSink5uaio6OD/bLAVf++LljSAwkABxHb29uRkZHB6ZEWiwU7d+6E1Wrl8vPExET89a9/hdlsxu7du9Hb24uCggK0tLTA6XSitLQUbrebs0t0apzdbkdycjI8Hg+io6NRUFCA+Ph4dHd3IyYmBna7HU1NTXjqqafQ09ODw4cPs+gfP36cJyjda+fNN9/E17/+dXR2diIzM5MFz2Kx4OWXX+a0zaioKBgMBnR1dSE1NZUbZO3btw8ejwetra3YtGkT2traWMxKS0tBRKiqquKAZHd3N4t+ZGQkB3L1cXnaruLiYixcuBAdHR1IT0/HrFmz0NXVxaJPNFD9ql0smZmZuHLlCmpqajgQrxujadHXQcze3l50dnbiypUraG9vR05Ojl/1p1IKNTU1AMDuKl98XTp6jPpy0003AQDn53s8HjzyyCMwGo04e/Ysjh8/jsuXL8NmsyEuLg4JCQnwegca5ekdr9vtRnl5OZ9BrNshXBvMTE9Ph81mQ3NzM+fg33TTTQgLC0NTU5Nf0FcLn6/4K6WQl5fHbiuj0Yjs7GwUFRWhpqYGM2fORG9vL2JjY9Hf34+dO3di3bp1fkFp7UrxnQCef/55/PjHP/ZL8tAJDxcuXOCiMm3D3//+dyQlJSElJQUOhwPnz5/HgQMHcPfdd3PrEp3meeDAAaxatcrvxLHq6mrMmDHD7/pof//ixYv97AX83W6jxejmDI0gunfMcB8xMTGoqKhAfHw89wyZM2cODh8+DIPBgDfffBMulwunT59mH6S+OXWmTlxcHICrPln94WvBO3DgANLS0gAA06dP51WFdvFMmjQJAPhmjoiIQF5eHguP2WzGb3/7Ww7Mejwe3HHHHSwUHo8Hvb29iIuL+1z717CwMFRVVcFkMuGJJ55g14QOXtrtdj4IWw92vRrXGQ+rV6/mAiyPx4PDhw/DZrMBGFix6pW7Tt3UGSw/+clP4HQ6YTAMnHZ05MgROJ1OvokaGxuxadMm9Pb2oqurC83NzXjttddw7NgxPutUB5arqqrg9XqRlpaGOXPmICkpiYu0dK6znvi0q6mmpgZLly6F1+vF22+/DbfbjUOHDuGpp57iOAoAFuWqqipMnToVM2fORGJiIu+cIiIi8Pvf/567Sepe7+Hh4Th37hyysrK4oEyflasDudqVAgyI7qJFiziIqMeTbsKldwNa9HVqaXV1NVpbW/HYY4/xJN3b24vCwkIcOXIEDQ0N7IYYKk//2mP9fIW1vr4eDQ0NOH36NAoLC1FYWIi//e1vOHz4MObOnYtHH30UjzzyCMxmM9ra2lBZWYna2lpeeNntdtjtds5cO3/+PM6dO+d3oA4Adv3Fx8ezuJeUlKClpQVJSUlYtGgR9zLyPYdB7yR1soM+qOazzz5Dd3c3N0DT7hmz2QyHw8HN8Xbs2MFjArjaQNDlcnEFsC5o7OjoQE9PD7cA0e42Xa3ue77wpUuX+Br39PSgrKwMO3bs4NRfAJzls3//ftYE3Qm0urqas4f0farF3zez0HfSG4nH9Rgzwq8H2nAfVqsV27dvR2xsLCwWC1atWsXuHb2q0zfK6tWrodRA0c7WrVthNpuxYsUKvwwa7Vo5ePAgt2jVoq+38todVFRUhNmzZwMYGJAulwszZsxATk4OC4nBYMA777zDBVtKKX1gMn71q4HGpRs3buSTmnxbuOrA7u7duwFc9e2fPz9wrk1jYyNyc3N5oEZERGDr1q2IiYnhFsRr167FoUOHYDabUVBQgOzsbNTV1cHr9aKwsBDh4eF8w2nh6u3txbp16zgYabFYkJub63fgRHV1NX72s5/B5XKhu7sbBQUF+PnPf45jx47B6/VyMzLt5y4uLuZDOWbMmMFFa++++y6v6PV765RBncGjhffkyZPc2uHSpUswGAw4ceIEzGYzLl26hOTkZKxevRpz585lv7zZbMbrr7/O7X71JBceHo7z58/ja1/7GhwOB5YtW8ZBeO3zBwbcO/omzsrKwsWLF/Hxxx+jv78fycnJ3NJALxrKy8sRHh4Oh8MBk8mEqqoqTJw4kd065eXlKCwsxIkTJ1jodQKC9rmnpKQM+UhNTeVxoh/XmxB0sP7999+HzWbDAw88gPz8fF5Y1NTUcCV0ZGQk7HY7XC4Xd2I9d+4c91LS4q+F3OPxcMVtU1MTysrKAACzZ8/mVFhdkX498f/BD37AE6zH4+EddXt7OydWREdHIyYmBqdOneJFjK8byVf8Ozo68OKLL/J95/uZmEwmNDc3sytTZ++cPHkSlZWV8Hg8/D4PP/yw30E8Wvx1rYxv1b7+jH0z+/T9pL0D+rqJ8A8yUit+7TfXRU11dXWc/rdjxw643W4u09YruM7OToSHh8NqtfpdUD1QWlpaOGf/gw8+4IIk7f82GAw4dOgQbrnlFr/BPXfuXPT09CAlJYVXjG63Gw0NDX7tGebNm4euri6YTCYWvYSEBL/Vvp6E9uzZA7PZrPtw48yZMyAitLW1YdGiRX79eiorKxEVFYXOzk6YzWbExcXx/+3duxderxd5eXno6+vDBx98ALPZjNra2s/12o+KisKsWbPQ29sLg8HAB1zo61ZdXY2nn34afX19cDgcOHDgADZv3oyGhgYOaAFgN0xJSQkeeOABOJ1OfO9732MXj91uZ5+3FmmTyYSSkhJs3rwZbrcbly9fRnNzM3bv3o033ngDLpcLn376Kfr7+3H06FGEhYWhvb0dHo8H8+bNw8SJE/2qpF999VUeKyaTCW1tbQgLC0NlZSVnbekj/3yFyOl0cvCcaKDvzpkzZ7iQasGCBYiNjeVtfF9fH/v0dSpkVVUVbr/9dtx777080eqkhv7+fkRERGDp0qW49dZbkZ2djezsbFitVsTGxg75sFqtWLJkCT/0a2699VY/F4eesPVEUFpayjUP+fn5yM/P589Tt7bQr2lra+Ndb3d3N8rKytiN6OvX9nq9mD9/PqZMmQK3242zZ88iKioKWVlZMBoHzivQOy59f+iVuu7WmZ+fz4kQiYmJ3HaBiNDe3s6fm65v8J2A9ISpYyRauH/zm9/4pd361ur4doLVE0Jrays36mtpaUFOTg5nQAFXd906lqRdVJMmTeLjPvVz+md1qu5oF235MmaEXxdbDfdx6tQpTvlbsmQJqqqq/FI59Qp65cqVLKpvvPEGB5d8Z1E9uPREUVdXh+zsbADgvunA548jBMCZETr4qgfeK6+84tekKT8/H0opvPjiiyAi3H333VxZeW1KncFgQFlZmW7FylWvwIDQ6NUmMJDho1sw6Cyib3/72ygsLERLSwuICIcPH4bH40FxcTG8Xi/sdjtPRnqi8Xg8ePrppzkzYcuWLQgPD2dXUEtLC9avX883/8GDB/GjH/0I9fX17H8HBvLh9QS5aNEieDwe3H///Xxtdu3ahVdffdWvF5AOfr7wwgs8gZw+fRp79+7FyZMn4Xa78emnn0IphQ8//JBz19vb2/Gtb30LOTk5fkcdHjhwwK/vTVtbG0wmE/fmT09Px8qVK7Fhwwa4XC5eOVdXV6O8vJyrcTMzM1FcXMzit3DhQr/Pq6amBhUVFTAajbDZbGhpaUFDQwMeffRRzJw5E3a7HUeOHOHPbv78+Vi+fDkyMjL8sml8V+5f9NDjWue5u91uZGRkICMjAwsWLEBGRgZycnKwfPlyzJs3j8dtUVER3n//fXg8HmzYsAHr1q0DMBBbqK2t5ZhHR0cH7HY7C1pFRQVqa2t5XOrFks5xT0tL4+wr4Grap2/9AXC1YaHe4bhcLtx11138eemkiwsXLsBoNHJigMlkwuuvv+4n/Ppf/Z56UnE6nfj1r3/tlxml72uj0cipyvpBRCgqKmIXUl1dHf70pz+xbvjuGvbv38826Cy9qqoqvziM/j2FhYV+sZnRZswIv+/FGu7j2vcdrl2azs5Ozmj5op/Vqwhfvmhbdi3af3k9pkyZAgBcqTvU79GHfQyFzpyxWCxQSqG9vR0A/LKHfPH9HZ988onf//X09GDmzJl+f5/2+QJg/6rve+kYiO/uqrq6esjfrXvoaLt1PvlQ11PXRQDwa3Wg//XNptB/ExFxbAC4GhzVKDXQaEujd3lfFKDTFbg6h7ynpwcAeOd57TXRMaXRwvdafdHv0uNK30faTiKCy+Xyu2Z2u/2699ZQ4/d6P3vt53htdp/v77zePT7U+/mOLd8OqNfD9/d8kX1fhI6zDWXfjRJ8zZgRfkEQBGFkEOEXBCHo+UdW1qNJsNgxXET4BUEQQgwRfkEQhBBDhF8QBCHEEOEXBEEIMUT4BUEIem50uuP1CBY7hosIvyAIQoghwi8IQtATLGmUwWLHcBHhFwRBCDFE+AVBEEIMEX5BEIQQQ4RfEAQhxBDhFwQh6AmWNMpgsWO4BIXwE5GBiM4SUUGgbREEQRjvBIXwA3gMwPlAGyEIQnASLGmUwWLHcAm48BNRMoA7APxXoG0RBEEIBQIu/ABeAvAkgPExlQqCIAQ5pkD+ciL6PwAuK6VKiOg2ANeNnOzcuZO/TktLQ1pa2ugbKAiCMIa4ePEi6uvrv/TnAir8AHIArCGiOwBEAoghoh1Kqfuu/cH169ffcOMEQRDGEikpKUhJSeHvP/zwwyF/LqCuHqXUT5VSNymlUgHcA+D9oURfEITQJljSKIPFjuESDD5+QRAE4QYSaFcPo5T6AMAHgbZDEITgI1jSKIPFjuEiK35BEIQQQ4RfEAQhxBDhFwRBCDFE+AVBEEIMEX5BEIKeYEmjDBY7hosIvyAIQoghwi8IQtATLGmUwWLHcBHhFwRBCDFE+AVBEEIMEX5BEIQQQ4RfEAQhxBDhFwQh6AmWNMpgsWO4iPALgiCEGCL8giAEPcGSRhksdgwXEX5BEIQQQ4RfEAQhxBDhFwRBCDFCSvg//vjjQJswrikrKwu0CeOW8vLyQJswrrl06VKgTbihiPALI4YI/+hRUVERaBMCyminUTY3NweFHTcKGgtRaiJSmzZtGvb7HD16FMuXLx8Bi4ShkOs7esi1HV3G6/V97rnnoJT63GwVUit+QRAEYQyt+ANtgyAIwlhkqBX/mBB+QRAEYeQQV48gCEKIIcIvCIIQYoSM8BPR7URUQURVRPTjQNszniCii0RUSkTFRHQ60PaMdYjoNSK6TEQf+zw3kYjeJaJKInqHiKyBtHGscp1r+wwRNRLR2cHH7YG08UYQEsJPRAYA/wngWwDmAlhHRHMCa9W4oh/AbUqpBUqpxYE2Zhzw3xgYq778BMBhpdRsAO8DGH5+c2gy1LUFgP9QSmUOPg7daKNuNCEh/AAWA6hWStUrpdwA/gfAnQG2aTxBCJ2xNOoopY4BuHLN03cCeGPw6zcA/MsNNWqccJ1rCwyM4ZAhVG7WaQA+9fm+cfA5YWRQAN4hoiIiejDQxoxTJiulLgOAUqoFwOQA2zPeeJiISojov0LBjRYqwi+MLjlKqSwAd2DgBloWaINCAMnDHjl+C2CGUioDQAuA/wiwPaNOqAh/E4CbfL5PHnxOGAGUUs2D/9oA7MWAa00YWS4TUSIAENEUAK0BtmfcoJSyqasFTa8CWBRIe24EoSL8RQC+TkQ3E1EYgHsAFATYpnEBEVmIKHrw6ygAqwB8ElirxgUEf79zAYDcwa/vB7DvRhs0jvC7toMTqeYuhMD4NQXagBuBUspLRI8AeBcDk91rSinpczsyJALYO9hWwwTgLaXUuwG2aUxDRLsA3AYgnogaADwDYDOAPUT0rwDqAfy/wFk4drnOtf0mEWVgIDvtIoDvB8zAG4S0bBAEQQgxQsXVIwiCIAwiwi8IghBiiPALgiCEGCL8giAIIYYIvyAIQoghwi8IghBiiPALgiCEGCL8gvAlDFZ8O4norM/3ZcN4v+eJqJmInhg5KwXhqxMSlbuCMAJUK6Uyfb7/pysflVJPEVH3CNgkCP8UsuIXQhoiyho8PSyMiKKI6BMi+sY/8PrUwVObFhLR/US0d/CkrAtE9DAR/dvg/58goljfl47CnyMIXwkRfiGkUUp9hIGGZ78C8GsAbyqlzn+V1xLRLAD/H8B9Sqkzg0/PxcAhKYsH37N7cKdwCsB9I2y+IPxTiKtHEIBfYqCDqxNA/ld8zWQAfwFwl1Kqwuf5I0opBwAHEX0GYP/g82UA5o+QvYIwLGTFLwhAAoBoADEAIr7ia+wAGgAsv+Z5l8/Xyuf7fshCSwgSRPgFAXgFwL8DeAvA81/xNS4A3wFwHxGtGy3DBGE0kBWIENIQ0QYAfUqp/yEiA4DjRHSbUqrwy16rlHIS0f8F8C4RdQ31IyNsriCMCNKPXxC+BCK6GcB+pdSI+eiJ6BkAXUqpcX++qxB8iKtHEL4cLwCrLuAaLkT0PIDvAegZifcThH8UWfELgiCEGLLiFwRBCDFE+AVBEEIMEX5BEIQQQ4RfEAQhxBDhFwRBCDH+F9ANRifj2Zd5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f45111eeef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot model\n",
    "sepPlot.Grey(plt,modelDouble,label1=\"z [km]\",label2=\"x [km]\",title=\"Model\").output()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Forward"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4510f119b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Convert data to 2D float \n",
    "dataFloat2D=SepVector.getSepVector(Hypercube.hypercube(axes=[dataDouble.getHyper().axes[0],dataDouble.getHyper().axes[1]]))\n",
    "dataFloat2DNd=dataFloat2D.getNdArray()\n",
    "dataDoubleNd=dataDouble.getNdArray()\n",
    "dataFloat2DNd[:]=dataDoubleNd\n",
    "\n",
    "# Plot forward\n",
    "sepPlot.Grey(plt,dataFloat2D,label1=\"Time [s]\",label2=\"Receivers [km]\",title=\"Forward\").output()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Adjoint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f44c405a668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot adjoint\n",
    "sepPlot.Grey(plt,modelAdjDouble,label1=\"z [km]\",label2=\"x [km]\",title=\"Model\").output()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Write results to disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Data \n",
    "dataFloat=SepVector.getSepVector(dataDouble.getHyper(),storage=\"dataFloat\")\n",
    "dataFloatNp=dataFloat.getNdArray()\n",
    "dataDoubleNp=dataDouble.getNdArray()\n",
    "dataFloatNp[:]=dataDoubleNp\n",
    "_=genericIO.defaultIO.writeVector(\"BornFwdJupyter.H\",modelFloat)\n",
    "\n",
    "# Model after applying FWD and ADJ\n",
    "modelFloat=SepVector.getSepVector(modelAdjDouble.getHyper(),storage=\"dataFloat\")\n",
    "modelFloatNp=modelAdjDouble.getNdArray()\n",
    "modelDoubleNp=modelAdjDouble.getNdArray()\n",
    "modelFloatNp[:]=modelDoubleNp\n",
    "_=genericIO.defaultIO.writeVector(\"BornAdjJupyter.H\",modelFloat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dot product test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dot-product test of forward and adjoint operators\n",
      "-------------------------------------------------\n",
      "Applying forward operator add=False\n",
      "\tRuns in: 2.678614854812622 seconds\n",
      "Applying adjoint operator add=False\n",
      "\tRuns in: 3.5106496810913086 seconds\n",
      "Dot products add=False: domain=5.3250764908607e-06 range=5.3250764908605754e-06 \n",
      "Absolute error: 1.2451384324638215e-19\n",
      "Relative error: 2.3382545482695913e-14 \n",
      "\n",
      "\n",
      "Applying forward operator add=True\n",
      "\tRuns in: 2.7388484477996826 seconds\n",
      "Applying adjoint operator add=True\n",
      "\tRuns in: 3.9025375843048096 seconds\n",
      "Dot products add=True: domain=1.0650152981721417e-05 range=1.0650152981721161e-05 \n",
      "Absolute error: 2.558039500707987e-19\n",
      "Relative error: 2.401880522372163e-14 \n",
      "\n",
      "-------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "BornOp.dotTest(True)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
